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Finding the Third Proportional to 54,986 and 82,719

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Solution

The third proportional to 54,986 and 82,719 is: 124,439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,986 : 82,719 = 82,719 : x
  2. Step 2: Convert to fraction form
    54,986/82,719 = 82,719/x
  3. Step 3: Cross multiply
    54,986x = 82,719 × 82,719
  4. Step 4: Simplify right side
    54,986x = 6,842,432,961
  5. Step 5: Solve for x
    x = 6,842,432,961/54,986
  6. Step 6: Final answer
    x = 124,439.55

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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.