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Finding the Third Proportional to 402,272 and 868,350

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Solution

The third proportional to 402,272 and 868,350 is: 1,874,432.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,272 : 868,350 = 868,350 : x
  2. Step 2: Convert to fraction form
    402,272/868,350 = 868,350/x
  3. Step 3: Cross multiply
    402,272x = 868,350 × 868,350
  4. Step 4: Simplify right side
    402,272x = 754,031,722,500
  5. Step 5: Solve for x
    x = 754,031,722,500/402,272
  6. Step 6: Final answer
    x = 1,874,432.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.