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Finding the Third Proportional to 81,691.88 and 131,606.44

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Solution

The third proportional to 81,691.88 and 131,606.44 is: 212,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,691.88 : 131,606.44 = 131,606.44 : x
  2. Step 2: Convert to fraction form
    81,691.88/131,606.44 = 131,606.44/x
  3. Step 3: Cross multiply
    81,691.88x = 131,606.44 × 131,606.44
  4. Step 4: Simplify right side
    81,691.88x = 17,320,254,391.44
  5. Step 5: Solve for x
    x = 17,320,254,391.44/81,691.88
  6. Step 6: Final answer
    x = 212,019.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.