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Finding the Third Proportional to 80,809 and 172,850

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Solution

The third proportional to 80,809 and 172,850 is: 369,725.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,809 : 172,850 = 172,850 : x
  2. Step 2: Convert to fraction form
    80,809/172,850 = 172,850/x
  3. Step 3: Cross multiply
    80,809x = 172,850 × 172,850
  4. Step 4: Simplify right side
    80,809x = 29,877,122,500
  5. Step 5: Solve for x
    x = 29,877,122,500/80,809
  6. Step 6: Final answer
    x = 369,725.19

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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.