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Finding the Third Proportional to 872,140,432 and 1,340,540,240

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Solution

The third proportional to 872,140,432 and 1,340,540,240 is: 2,060,503,181.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,140,432 : 1,340,540,240 = 1,340,540,240 : x
  2. Step 2: Convert to fraction form
    872,140,432/1,340,540,240 = 1,340,540,240/x
  3. Step 3: Cross multiply
    872,140,432x = 1,340,540,240 × 1,340,540,240
  4. Step 4: Simplify right side
    872,140,432x = 1,797,048,135,059,257,600
  5. Step 5: Solve for x
    x = 1,797,048,135,059,257,600/872,140,432
  6. Step 6: Final answer
    x = 2,060,503,181.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.