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Finding the Third Proportional to 77.75 and 140.38

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Solution

The third proportional to 77.75 and 140.38 is: 253.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.75 : 140.38 = 140.38 : x
  2. Step 2: Convert to fraction form
    77.75/140.38 = 140.38/x
  3. Step 3: Cross multiply
    77.75x = 140.38 × 140.38
  4. Step 4: Simplify right side
    77.75x = 19,705.14
  5. Step 5: Solve for x
    x = 19,705.14/77.75
  6. Step 6: Final answer
    x = 253.44

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.