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Finding the Third Proportional to 80,387 and 174,609

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Solution

The third proportional to 80,387 and 174,609 is: 379,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,387 : 174,609 = 174,609 : x
  2. Step 2: Convert to fraction form
    80,387/174,609 = 174,609/x
  3. Step 3: Cross multiply
    80,387x = 174,609 × 174,609
  4. Step 4: Simplify right side
    80,387x = 30,488,302,881
  5. Step 5: Solve for x
    x = 30,488,302,881/80,387
  6. Step 6: Final answer
    x = 379,269.07

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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.