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Finding the Third Proportional to 80,792 and 172,579

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Solution

The third proportional to 80,792 and 172,579 is: 368,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,792 : 172,579 = 172,579 : x
  2. Step 2: Convert to fraction form
    80,792/172,579 = 172,579/x
  3. Step 3: Cross multiply
    80,792x = 172,579 × 172,579
  4. Step 4: Simplify right side
    80,792x = 29,783,511,241
  5. Step 5: Solve for x
    x = 29,783,511,241/80,792
  6. Step 6: Final answer
    x = 368,644.31

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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.