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Finding the Third Proportional to 54,458 and 81,683

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Solution

The third proportional to 54,458 and 81,683 is: 122,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,458 : 81,683 = 81,683 : x
  2. Step 2: Convert to fraction form
    54,458/81,683 = 81,683/x
  3. Step 3: Cross multiply
    54,458x = 81,683 × 81,683
  4. Step 4: Simplify right side
    54,458x = 6,672,112,489
  5. Step 5: Solve for x
    x = 6,672,112,489/54,458
  6. Step 6: Final answer
    x = 122,518.50

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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.