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Finding the Third Proportional to 81,174.66 and 189,712.13

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Solution

The third proportional to 81,174.66 and 189,712.13 is: 443,373.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,174.66 : 189,712.13 = 189,712.13 : x
  2. Step 2: Convert to fraction form
    81,174.66/189,712.13 = 189,712.13/x
  3. Step 3: Cross multiply
    81,174.66x = 189,712.13 × 189,712.13
  4. Step 4: Simplify right side
    81,174.66x = 35,990,690,372.02
  5. Step 5: Solve for x
    x = 35,990,690,372.02/81,174.66
  6. Step 6: Final answer
    x = 443,373.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.