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Finding the Third Proportional to 81,739.13 and 175,575.09

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Solution

The third proportional to 81,739.13 and 175,575.09 is: 377,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,739.13 : 175,575.09 = 175,575.09 : x
  2. Step 2: Convert to fraction form
    81,739.13/175,575.09 = 175,575.09/x
  3. Step 3: Cross multiply
    81,739.13x = 175,575.09 × 175,575.09
  4. Step 4: Simplify right side
    81,739.13x = 30,826,613,545.32
  5. Step 5: Solve for x
    x = 30,826,613,545.32/81,739.13
  6. Step 6: Final answer
    x = 377,134.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.