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Finding the Third Proportional to 129,766.50 and 278,931

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Solution

The third proportional to 129,766.50 and 278,931 is: 599,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,766.50 : 278,931 = 278,931 : x
  2. Step 2: Convert to fraction form
    129,766.50/278,931 = 278,931/x
  3. Step 3: Cross multiply
    129,766.50x = 278,931 × 278,931
  4. Step 4: Simplify right side
    129,766.50x = 77,802,502,761
  5. Step 5: Solve for x
    x = 77,802,502,761/129,766.50
  6. Step 6: Final answer
    x = 599,557.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.