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Finding the Third Proportional to 80,166 and 172,391

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Solution

The third proportional to 80,166 and 172,391 is: 370,713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,166 : 172,391 = 172,391 : x
  2. Step 2: Convert to fraction form
    80,166/172,391 = 172,391/x
  3. Step 3: Cross multiply
    80,166x = 172,391 × 172,391
  4. Step 4: Simplify right side
    80,166x = 29,718,656,881
  5. Step 5: Solve for x
    x = 29,718,656,881/80,166
  6. Step 6: Final answer
    x = 370,713.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.