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Finding the Third Proportional to 80,712 and 172,500

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Solution

The third proportional to 80,712 and 172,500 is: 368,671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,712 : 172,500 = 172,500 : x
  2. Step 2: Convert to fraction form
    80,712/172,500 = 172,500/x
  3. Step 3: Cross multiply
    80,712x = 172,500 × 172,500
  4. Step 4: Simplify right side
    80,712x = 29,756,250,000
  5. Step 5: Solve for x
    x = 29,756,250,000/80,712
  6. Step 6: Final answer
    x = 368,671.94

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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.