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Finding the Third Proportional to 532,532,156,580 and 1,140,466,264,483.50

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Solution

The third proportional to 532,532,156,580 and 1,140,466,264,483.50 is: 2,442,412,696,311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,532,156,580 : 1,140,466,264,483.50 = 1,140,466,264,483.50 : x
  2. Step 2: Convert to fraction form
    532,532,156,580/1,140,466,264,483.50 = 1,140,466,264,483.50/x
  3. Step 3: Cross multiply
    532,532,156,580x = 1,140,466,264,483.50 × 1,140,466,264,483.50
  4. Step 4: Simplify right side
    532,532,156,580x = 1,300,663,300,424,948,609,187,840
  5. Step 5: Solve for x
    x = 1,300,663,300,424,948,609,187,840/532,532,156,580
  6. Step 6: Final answer
    x = 2,442,412,696,311.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.