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Finding the Third Proportional to 80,754 and 172,548

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Solution

The third proportional to 80,754 and 172,548 is: 368,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,754 : 172,548 = 172,548 : x
  2. Step 2: Convert to fraction form
    80,754/172,548 = 172,548/x
  3. Step 3: Cross multiply
    80,754x = 172,548 × 172,548
  4. Step 4: Simplify right side
    80,754x = 29,772,812,304
  5. Step 5: Solve for x
    x = 29,772,812,304/80,754
  6. Step 6: Final answer
    x = 368,685.29

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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.