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Finding the Third Proportional to 63.92 and 139.98

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Solution

The third proportional to 63.92 and 139.98 is: 306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.92 : 139.98 = 139.98 : x
  2. Step 2: Convert to fraction form
    63.92/139.98 = 139.98/x
  3. Step 3: Cross multiply
    63.92x = 139.98 × 139.98
  4. Step 4: Simplify right side
    63.92x = 19,595.63
  5. Step 5: Solve for x
    x = 19,595.63/63.92
  6. Step 6: Final answer
    x = 306.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.