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Finding the Third Proportional to 54,654 and 81,982

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Solution

The third proportional to 54,654 and 81,982 is: 122,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,654 : 81,982 = 81,982 : x
  2. Step 2: Convert to fraction form
    54,654/81,982 = 81,982/x
  3. Step 3: Cross multiply
    54,654x = 81,982 × 81,982
  4. Step 4: Simplify right side
    54,654x = 6,721,048,324
  5. Step 5: Solve for x
    x = 6,721,048,324/54,654
  6. Step 6: Final answer
    x = 122,974.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.