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Finding the Third Proportional to 54,919 and 82,986

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Solution

The third proportional to 54,919 and 82,986 is: 125,396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,919 : 82,986 = 82,986 : x
  2. Step 2: Convert to fraction form
    54,919/82,986 = 82,986/x
  3. Step 3: Cross multiply
    54,919x = 82,986 × 82,986
  4. Step 4: Simplify right side
    54,919x = 6,886,676,196
  5. Step 5: Solve for x
    x = 6,886,676,196/54,919
  6. Step 6: Final answer
    x = 125,396.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.