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Finding the Third Proportional to 81,280 and 177,464

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Solution

The third proportional to 81,280 and 177,464 is: 387,468.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,280 : 177,464 = 177,464 : x
  2. Step 2: Convert to fraction form
    81,280/177,464 = 177,464/x
  3. Step 3: Cross multiply
    81,280x = 177,464 × 177,464
  4. Step 4: Simplify right side
    81,280x = 31,493,471,296
  5. Step 5: Solve for x
    x = 31,493,471,296/81,280
  6. Step 6: Final answer
    x = 387,468.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.