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Finding the Third Proportional to 38.16 and 67.03

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Solution

The third proportional to 38.16 and 67.03 is: 117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.16 : 67.03 = 67.03 : x
  2. Step 2: Convert to fraction form
    38.16/67.03 = 67.03/x
  3. Step 3: Cross multiply
    38.16x = 67.03 × 67.03
  4. Step 4: Simplify right side
    38.16x = 4,493.19
  5. Step 5: Solve for x
    x = 4,493.19/38.16
  6. Step 6: Final answer
    x = 117.76

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.