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Finding the Third Proportional to 81,551 and 177,070

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Solution

The third proportional to 81,551 and 177,070 is: 384,468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,551 : 177,070 = 177,070 : x
  2. Step 2: Convert to fraction form
    81,551/177,070 = 177,070/x
  3. Step 3: Cross multiply
    81,551x = 177,070 × 177,070
  4. Step 4: Simplify right side
    81,551x = 31,353,784,900
  5. Step 5: Solve for x
    x = 31,353,784,900/81,551
  6. Step 6: Final answer
    x = 384,468.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.