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Finding the Third Proportional to 127.13 and 198.42

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Solution

The third proportional to 127.13 and 198.42 is: 309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.13 : 198.42 = 198.42 : x
  2. Step 2: Convert to fraction form
    127.13/198.42 = 198.42/x
  3. Step 3: Cross multiply
    127.13x = 198.42 × 198.42
  4. Step 4: Simplify right side
    127.13x = 39,371.24
  5. Step 5: Solve for x
    x = 39,371.24/127.13
  6. Step 6: Final answer
    x = 309.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.