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Finding the Third Proportional to 38.98 and 85.16

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Solution

The third proportional to 38.98 and 85.16 is: 186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.98 : 85.16 = 85.16 : x
  2. Step 2: Convert to fraction form
    38.98/85.16 = 85.16/x
  3. Step 3: Cross multiply
    38.98x = 85.16 × 85.16
  4. Step 4: Simplify right side
    38.98x = 7,252.69
  5. Step 5: Solve for x
    x = 7,252.69/38.98
  6. Step 6: Final answer
    x = 186.07

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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.