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Finding the Third Proportional to 54,382 and 76,982

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Solution

The third proportional to 54,382 and 76,982 is: 108,974.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,382 : 76,982 = 76,982 : x
  2. Step 2: Convert to fraction form
    54,382/76,982 = 76,982/x
  3. Step 3: Cross multiply
    54,382x = 76,982 × 76,982
  4. Step 4: Simplify right side
    54,382x = 5,926,228,324
  5. Step 5: Solve for x
    x = 5,926,228,324/54,382
  6. Step 6: Final answer
    x = 108,974.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.