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Finding the Third Proportional to 148,115.25 and 215,449.88

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Solution

The third proportional to 148,115.25 and 215,449.88 is: 313,395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,115.25 : 215,449.88 = 215,449.88 : x
  2. Step 2: Convert to fraction form
    148,115.25/215,449.88 = 215,449.88/x
  3. Step 3: Cross multiply
    148,115.25x = 215,449.88 × 215,449.88
  4. Step 4: Simplify right side
    148,115.25x = 46,418,648,637.52
  5. Step 5: Solve for x
    x = 46,418,648,637.52/148,115.25
  6. Step 6: Final answer
    x = 313,395.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.