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Finding the Third Proportional to 80,020 and 172,446

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Solution

The third proportional to 80,020 and 172,446 is: 371,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,020 : 172,446 = 172,446 : x
  2. Step 2: Convert to fraction form
    80,020/172,446 = 172,446/x
  3. Step 3: Cross multiply
    80,020x = 172,446 × 172,446
  4. Step 4: Simplify right side
    80,020x = 29,737,622,916
  5. Step 5: Solve for x
    x = 29,737,622,916/80,020
  6. Step 6: Final answer
    x = 371,627.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.