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Finding the Third Proportional to 81,760 and 169,376

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Solution

The third proportional to 81,760 and 169,376 is: 350,883.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,760 : 169,376 = 169,376 : x
  2. Step 2: Convert to fraction form
    81,760/169,376 = 169,376/x
  3. Step 3: Cross multiply
    81,760x = 169,376 × 169,376
  4. Step 4: Simplify right side
    81,760x = 28,688,229,376
  5. Step 5: Solve for x
    x = 28,688,229,376/81,760
  6. Step 6: Final answer
    x = 350,883.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.