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Finding the Third Proportional to 138,419.72 and 213,532.17

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Solution

The third proportional to 138,419.72 and 213,532.17 is: 329,403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,419.72 : 213,532.17 = 213,532.17 : x
  2. Step 2: Convert to fraction form
    138,419.72/213,532.17 = 213,532.17/x
  3. Step 3: Cross multiply
    138,419.72x = 213,532.17 × 213,532.17
  4. Step 4: Simplify right side
    138,419.72x = 45,595,988,425.65
  5. Step 5: Solve for x
    x = 45,595,988,425.65/138,419.72
  6. Step 6: Final answer
    x = 329,403.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.