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Finding the Third Proportional to 80,777.25 and 165,472.88

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Solution

The third proportional to 80,777.25 and 165,472.88 is: 338,972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,777.25 : 165,472.88 = 165,472.88 : x
  2. Step 2: Convert to fraction form
    80,777.25/165,472.88 = 165,472.88/x
  3. Step 3: Cross multiply
    80,777.25x = 165,472.88 × 165,472.88
  4. Step 4: Simplify right side
    80,777.25x = 27,381,272,360.77
  5. Step 5: Solve for x
    x = 27,381,272,360.77/80,777.25
  6. Step 6: Final answer
    x = 338,972.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.