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Finding the Third Proportional to 402,350 and 747,640

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Solution

The third proportional to 402,350 and 747,640 is: 1,389,252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,350 : 747,640 = 747,640 : x
  2. Step 2: Convert to fraction form
    402,350/747,640 = 747,640/x
  3. Step 3: Cross multiply
    402,350x = 747,640 × 747,640
  4. Step 4: Simplify right side
    402,350x = 558,965,569,600
  5. Step 5: Solve for x
    x = 558,965,569,600/402,350
  6. Step 6: Final answer
    x = 1,389,252.07

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.