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Finding the Third Proportional to 38.98 and 84.90

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Solution

The third proportional to 38.98 and 84.90 is: 184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.98 : 84.90 = 84.90 : x
  2. Step 2: Convert to fraction form
    38.98/84.90 = 84.90/x
  3. Step 3: Cross multiply
    38.98x = 84.90 × 84.90
  4. Step 4: Simplify right side
    38.98x = 7,207.29
  5. Step 5: Solve for x
    x = 7,207.29/38.98
  6. Step 6: Final answer
    x = 184.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.