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Finding the Third Proportional to 38.67 and 56.88

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Solution

The third proportional to 38.67 and 56.88 is: 83.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.67 : 56.88 = 56.88 : x
  2. Step 2: Convert to fraction form
    38.67/56.88 = 56.88/x
  3. Step 3: Cross multiply
    38.67x = 56.88 × 56.88
  4. Step 4: Simplify right side
    38.67x = 3,235.65
  5. Step 5: Solve for x
    x = 3,235.65/38.67
  6. Step 6: Final answer
    x = 83.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.