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Finding the Third Proportional to 138,711.75 and 209,525.88

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Solution

The third proportional to 138,711.75 and 209,525.88 is: 316,491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,711.75 : 209,525.88 = 209,525.88 : x
  2. Step 2: Convert to fraction form
    138,711.75/209,525.88 = 209,525.88/x
  3. Step 3: Cross multiply
    138,711.75x = 209,525.88 × 209,525.88
  4. Step 4: Simplify right side
    138,711.75x = 43,901,092,294.52
  5. Step 5: Solve for x
    x = 43,901,092,294.52/138,711.75
  6. Step 6: Final answer
    x = 316,491.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.