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Finding the Third Proportional to 58,843.97 and 128,691.28

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Solution

The third proportional to 58,843.97 and 128,691.28 is: 281,446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,843.97 : 128,691.28 = 128,691.28 : x
  2. Step 2: Convert to fraction form
    58,843.97/128,691.28 = 128,691.28/x
  3. Step 3: Cross multiply
    58,843.97x = 128,691.28 × 128,691.28
  4. Step 4: Simplify right side
    58,843.97x = 16,561,445,869.77
  5. Step 5: Solve for x
    x = 16,561,445,869.77/58,843.97
  6. Step 6: Final answer
    x = 281,446.79

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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.