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Finding the Third Proportional to 129,468.75 and 282,471

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Solution

The third proportional to 129,468.75 and 282,471 is: 616,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,468.75 : 282,471 = 282,471 : x
  2. Step 2: Convert to fraction form
    129,468.75/282,471 = 282,471/x
  3. Step 3: Cross multiply
    129,468.75x = 282,471 × 282,471
  4. Step 4: Simplify right side
    129,468.75x = 79,789,865,841
  5. Step 5: Solve for x
    x = 79,789,865,841/129,468.75
  6. Step 6: Final answer
    x = 616,286.68

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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.