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Finding the Third Proportional to 81,209.25 and 125,506.13

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Solution

The third proportional to 81,209.25 and 125,506.13 is: 193,965.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,209.25 : 125,506.13 = 125,506.13 : x
  2. Step 2: Convert to fraction form
    81,209.25/125,506.13 = 125,506.13/x
  3. Step 3: Cross multiply
    81,209.25x = 125,506.13 × 125,506.13
  4. Step 4: Simplify right side
    81,209.25x = 15,751,787,412.52
  5. Step 5: Solve for x
    x = 15,751,787,412.52/81,209.25
  6. Step 6: Final answer
    x = 193,965.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.