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Finding the Third Proportional to 80,072 and 172,522

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Solution

The third proportional to 80,072 and 172,522 is: 371,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,072 : 172,522 = 172,522 : x
  2. Step 2: Convert to fraction form
    80,072/172,522 = 172,522/x
  3. Step 3: Cross multiply
    80,072x = 172,522 × 172,522
  4. Step 4: Simplify right side
    80,072x = 29,763,840,484
  5. Step 5: Solve for x
    x = 29,763,840,484/80,072
  6. Step 6: Final answer
    x = 371,713.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.