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Finding the Third Proportional to 19.75 and 36.88

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Solution

The third proportional to 19.75 and 36.88 is: 68.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.75 : 36.88 = 36.88 : x
  2. Step 2: Convert to fraction form
    19.75/36.88 = 36.88/x
  3. Step 3: Cross multiply
    19.75x = 36.88 × 36.88
  4. Step 4: Simplify right side
    19.75x = 1,359.77
  5. Step 5: Solve for x
    x = 1,359.77/19.75
  6. Step 6: Final answer
    x = 68.85

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.