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Finding the Third Proportional to 129,902.06 and 279,142.88

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Solution

The third proportional to 129,902.06 and 279,142.88 is: 599,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,902.06 : 279,142.88 = 279,142.88 : x
  2. Step 2: Convert to fraction form
    129,902.06/279,142.88 = 279,142.88/x
  3. Step 3: Cross multiply
    129,902.06x = 279,142.88 × 279,142.88
  4. Step 4: Simplify right side
    129,902.06x = 77,920,744,663.27
  5. Step 5: Solve for x
    x = 77,920,744,663.27/129,902.06
  6. Step 6: Final answer
    x = 599,842.24

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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.