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Finding the Third Proportional to 129,666 and 282,660

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Solution

The third proportional to 129,666 and 282,660 is: 616,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,666 : 282,660 = 282,660 : x
  2. Step 2: Convert to fraction form
    129,666/282,660 = 282,660/x
  3. Step 3: Cross multiply
    129,666x = 282,660 × 282,660
  4. Step 4: Simplify right side
    129,666x = 79,896,675,600
  5. Step 5: Solve for x
    x = 79,896,675,600/129,666
  6. Step 6: Final answer
    x = 616,172.90

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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.