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Finding the Third Proportional to 122.84 and 140.27

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Solution

The third proportional to 122.84 and 140.27 is: 160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.84 : 140.27 = 140.27 : x
  2. Step 2: Convert to fraction form
    122.84/140.27 = 140.27/x
  3. Step 3: Cross multiply
    122.84x = 140.27 × 140.27
  4. Step 4: Simplify right side
    122.84x = 19,676.64
  5. Step 5: Solve for x
    x = 19,676.64/122.84
  6. Step 6: Final answer
    x = 160.19

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.