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Finding the Third Proportional to 129,471 and 282,475

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Solution

The third proportional to 129,471 and 282,475 is: 616,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,471 : 282,475 = 282,475 : x
  2. Step 2: Convert to fraction form
    129,471/282,475 = 282,475/x
  3. Step 3: Cross multiply
    129,471x = 282,475 × 282,475
  4. Step 4: Simplify right side
    129,471x = 79,792,125,625
  5. Step 5: Solve for x
    x = 79,792,125,625/129,471
  6. Step 6: Final answer
    x = 616,293.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.