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Finding the Third Proportional to 80,929.13 and 177,921.56

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Solution

The third proportional to 80,929.13 and 177,921.56 is: 391,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,929.13 : 177,921.56 = 177,921.56 : x
  2. Step 2: Convert to fraction form
    80,929.13/177,921.56 = 177,921.56/x
  3. Step 3: Cross multiply
    80,929.13x = 177,921.56 × 177,921.56
  4. Step 4: Simplify right side
    80,929.13x = 31,656,082,402.44
  5. Step 5: Solve for x
    x = 31,656,082,402.44/80,929.13
  6. Step 6: Final answer
    x = 391,158.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.