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Finding the Third Proportional to 39.80 and 61.45

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Solution

The third proportional to 39.80 and 61.45 is: 94.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.80 : 61.45 = 61.45 : x
  2. Step 2: Convert to fraction form
    39.80/61.45 = 61.45/x
  3. Step 3: Cross multiply
    39.80x = 61.45 × 61.45
  4. Step 4: Simplify right side
    39.80x = 3,776.49
  5. Step 5: Solve for x
    x = 3,776.49/39.80
  6. Step 6: Final answer
    x = 94.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.