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Finding the Third Proportional to 129,338 and 282,730

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Solution

The third proportional to 129,338 and 282,730 is: 618,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,338 : 282,730 = 282,730 : x
  2. Step 2: Convert to fraction form
    129,338/282,730 = 282,730/x
  3. Step 3: Cross multiply
    129,338x = 282,730 × 282,730
  4. Step 4: Simplify right side
    129,338x = 79,936,252,900
  5. Step 5: Solve for x
    x = 79,936,252,900/129,338
  6. Step 6: Final answer
    x = 618,041.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.