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Finding the Third Proportional to 80,972 and 177,886

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Solution

The third proportional to 80,972 and 177,886 is: 390,794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,972 : 177,886 = 177,886 : x
  2. Step 2: Convert to fraction form
    80,972/177,886 = 177,886/x
  3. Step 3: Cross multiply
    80,972x = 177,886 × 177,886
  4. Step 4: Simplify right side
    80,972x = 31,643,428,996
  5. Step 5: Solve for x
    x = 31,643,428,996/80,972
  6. Step 6: Final answer
    x = 390,794.71

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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.