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Finding the Third Proportional to 80,286 and 172,904

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Solution

The third proportional to 80,286 and 172,904 is: 372,366.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,286 : 172,904 = 172,904 : x
  2. Step 2: Convert to fraction form
    80,286/172,904 = 172,904/x
  3. Step 3: Cross multiply
    80,286x = 172,904 × 172,904
  4. Step 4: Simplify right side
    80,286x = 29,895,793,216
  5. Step 5: Solve for x
    x = 29,895,793,216/80,286
  6. Step 6: Final answer
    x = 372,366.21

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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.