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Finding the Third Proportional to 81,220.13 and 125,519.25

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Solution

The third proportional to 81,220.13 and 125,519.25 is: 193,980.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,220.13 : 125,519.25 = 125,519.25 : x
  2. Step 2: Convert to fraction form
    81,220.13/125,519.25 = 125,519.25/x
  3. Step 3: Cross multiply
    81,220.13x = 125,519.25 × 125,519.25
  4. Step 4: Simplify right side
    81,220.13x = 15,755,082,120.56
  5. Step 5: Solve for x
    x = 15,755,082,120.56/81,220.13
  6. Step 6: Final answer
    x = 193,980.03

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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.