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Finding the Third Proportional to 39.75 and 55.92

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Solution

The third proportional to 39.75 and 55.92 is: 78.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.75 : 55.92 = 55.92 : x
  2. Step 2: Convert to fraction form
    39.75/55.92 = 55.92/x
  3. Step 3: Cross multiply
    39.75x = 55.92 × 55.92
  4. Step 4: Simplify right side
    39.75x = 3,127.26
  5. Step 5: Solve for x
    x = 3,127.26/39.75
  6. Step 6: Final answer
    x = 78.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.