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Finding the Third Proportional to 139.18 and 195.78

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Solution

The third proportional to 139.18 and 195.78 is: 275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.18 : 195.78 = 195.78 : x
  2. Step 2: Convert to fraction form
    139.18/195.78 = 195.78/x
  3. Step 3: Cross multiply
    139.18x = 195.78 × 195.78
  4. Step 4: Simplify right side
    139.18x = 38,328.39
  5. Step 5: Solve for x
    x = 38,328.39/139.18
  6. Step 6: Final answer
    x = 275.39

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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.