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Finding the Third Proportional to 138,109.50 and 209,031.75

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Solution

The third proportional to 138,109.50 and 209,031.75 is: 316,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,109.50 : 209,031.75 = 209,031.75 : x
  2. Step 2: Convert to fraction form
    138,109.50/209,031.75 = 209,031.75/x
  3. Step 3: Cross multiply
    138,109.50x = 209,031.75 × 209,031.75
  4. Step 4: Simplify right side
    138,109.50x = 43,694,272,508.06
  5. Step 5: Solve for x
    x = 43,694,272,508.06/138,109.50
  6. Step 6: Final answer
    x = 316,374.13

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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.