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Finding the Third Proportional to 80,563 and 172,794

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Solution

The third proportional to 80,563 and 172,794 is: 370,613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,563 : 172,794 = 172,794 : x
  2. Step 2: Convert to fraction form
    80,563/172,794 = 172,794/x
  3. Step 3: Cross multiply
    80,563x = 172,794 × 172,794
  4. Step 4: Simplify right side
    80,563x = 29,857,766,436
  5. Step 5: Solve for x
    x = 29,857,766,436/80,563
  6. Step 6: Final answer
    x = 370,613.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.