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Finding the Third Proportional to 402,304 and 607,558

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Solution

The third proportional to 402,304 and 607,558 is: 917,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,304 : 607,558 = 607,558 : x
  2. Step 2: Convert to fraction form
    402,304/607,558 = 607,558/x
  3. Step 3: Cross multiply
    402,304x = 607,558 × 607,558
  4. Step 4: Simplify right side
    402,304x = 369,126,723,364
  5. Step 5: Solve for x
    x = 369,126,723,364/402,304
  6. Step 6: Final answer
    x = 917,531.83

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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.