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Finding the Third Proportional to 138,013.88 and 209,091.38

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Solution

The third proportional to 138,013.88 and 209,091.38 is: 316,773.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,013.88 : 209,091.38 = 209,091.38 : x
  2. Step 2: Convert to fraction form
    138,013.88/209,091.38 = 209,091.38/x
  3. Step 3: Cross multiply
    138,013.88x = 209,091.38 × 209,091.38
  4. Step 4: Simplify right side
    138,013.88x = 43,719,203,099.39
  5. Step 5: Solve for x
    x = 43,719,203,099.39/138,013.88
  6. Step 6: Final answer
    x = 316,773.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.