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Finding the Third Proportional to 81,243 and 125,560.13

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Solution

The third proportional to 81,243 and 125,560.13 is: 194,051.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,243 : 125,560.13 = 125,560.13 : x
  2. Step 2: Convert to fraction form
    81,243/125,560.13 = 125,560.13/x
  3. Step 3: Cross multiply
    81,243x = 125,560.13 × 125,560.13
  4. Step 4: Simplify right side
    81,243x = 15,765,344,990.02
  5. Step 5: Solve for x
    x = 15,765,344,990.02/81,243
  6. Step 6: Final answer
    x = 194,051.73

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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.