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Finding the Third Proportional to 38,458 and 79,980

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Solution

The third proportional to 38,458 and 79,980 is: 166,332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,458 : 79,980 = 79,980 : x
  2. Step 2: Convert to fraction form
    38,458/79,980 = 79,980/x
  3. Step 3: Cross multiply
    38,458x = 79,980 × 79,980
  4. Step 4: Simplify right side
    38,458x = 6,396,800,400
  5. Step 5: Solve for x
    x = 6,396,800,400/38,458
  6. Step 6: Final answer
    x = 166,332.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.