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Finding the Third Proportional to 129,891.09 and 279,123.47

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Solution

The third proportional to 129,891.09 and 279,123.47 is: 599,809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,891.09 : 279,123.47 = 279,123.47 : x
  2. Step 2: Convert to fraction form
    129,891.09/279,123.47 = 279,123.47/x
  3. Step 3: Cross multiply
    129,891.09x = 279,123.47 × 279,123.47
  4. Step 4: Simplify right side
    129,891.09x = 77,909,910,807.03
  5. Step 5: Solve for x
    x = 77,909,910,807.03/129,891.09
  6. Step 6: Final answer
    x = 599,809.49

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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.