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Finding the Third Proportional to 81,377 and 180,169

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Solution

The third proportional to 81,377 and 180,169 is: 398,894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,377 : 180,169 = 180,169 : x
  2. Step 2: Convert to fraction form
    81,377/180,169 = 180,169/x
  3. Step 3: Cross multiply
    81,377x = 180,169 × 180,169
  4. Step 4: Simplify right side
    81,377x = 32,460,868,561
  5. Step 5: Solve for x
    x = 32,460,868,561/81,377
  6. Step 6: Final answer
    x = 398,894.88

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.