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Finding the Third Proportional to 81,600 and 177,920

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Solution

The third proportional to 81,600 and 177,920 is: 387,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,600 : 177,920 = 177,920 : x
  2. Step 2: Convert to fraction form
    81,600/177,920 = 177,920/x
  3. Step 3: Cross multiply
    81,600x = 177,920 × 177,920
  4. Step 4: Simplify right side
    81,600x = 31,655,526,400
  5. Step 5: Solve for x
    x = 31,655,526,400/81,600
  6. Step 6: Final answer
    x = 387,935.37

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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.