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Finding the Third Proportional to 847,605 and 1,280,047.50

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Solution

The third proportional to 847,605 and 1,280,047.50 is: 1,933,119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,605 : 1,280,047.50 = 1,280,047.50 : x
  2. Step 2: Convert to fraction form
    847,605/1,280,047.50 = 1,280,047.50/x
  3. Step 3: Cross multiply
    847,605x = 1,280,047.50 × 1,280,047.50
  4. Step 4: Simplify right side
    847,605x = 1,638,521,602,256.25
  5. Step 5: Solve for x
    x = 1,638,521,602,256.25/847,605
  6. Step 6: Final answer
    x = 1,933,119.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.