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Finding the Third Proportional to 138,418.50 and 213,761.25

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Solution

The third proportional to 138,418.50 and 213,761.25 is: 330,113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,418.50 : 213,761.25 = 213,761.25 : x
  2. Step 2: Convert to fraction form
    138,418.50/213,761.25 = 213,761.25/x
  3. Step 3: Cross multiply
    138,418.50x = 213,761.25 × 213,761.25
  4. Step 4: Simplify right side
    138,418.50x = 45,693,872,001.56
  5. Step 5: Solve for x
    x = 45,693,872,001.56/138,418.50
  6. Step 6: Final answer
    x = 330,113.91

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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.