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Finding the Third Proportional to 117.84 and 127.97

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Solution

The third proportional to 117.84 and 127.97 is: 138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.84 : 127.97 = 127.97 : x
  2. Step 2: Convert to fraction form
    117.84/127.97 = 127.97/x
  3. Step 3: Cross multiply
    117.84x = 127.97 × 127.97
  4. Step 4: Simplify right side
    117.84x = 16,376.00
  5. Step 5: Solve for x
    x = 16,376.00/117.84
  6. Step 6: Final answer
    x = 138.96

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.