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Finding the Third Proportional to 80,543 and 172,750

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Solution

The third proportional to 80,543 and 172,750 is: 370,517.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,543 : 172,750 = 172,750 : x
  2. Step 2: Convert to fraction form
    80,543/172,750 = 172,750/x
  3. Step 3: Cross multiply
    80,543x = 172,750 × 172,750
  4. Step 4: Simplify right side
    80,543x = 29,842,562,500
  5. Step 5: Solve for x
    x = 29,842,562,500/80,543
  6. Step 6: Final answer
    x = 370,517.15

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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.