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Finding the Third Proportional to 81,731 and 176,364

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Solution

The third proportional to 81,731 and 176,364 is: 380,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,731 : 176,364 = 176,364 : x
  2. Step 2: Convert to fraction form
    81,731/176,364 = 176,364/x
  3. Step 3: Cross multiply
    81,731x = 176,364 × 176,364
  4. Step 4: Simplify right side
    81,731x = 31,104,260,496
  5. Step 5: Solve for x
    x = 31,104,260,496/81,731
  6. Step 6: Final answer
    x = 380,568.70

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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.