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Finding the Third Proportional to 140.91 and 197.81

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Solution

The third proportional to 140.91 and 197.81 is: 277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.91 : 197.81 = 197.81 : x
  2. Step 2: Convert to fraction form
    140.91/197.81 = 197.81/x
  3. Step 3: Cross multiply
    140.91x = 197.81 × 197.81
  4. Step 4: Simplify right side
    140.91x = 39,129.79
  5. Step 5: Solve for x
    x = 39,129.79/140.91
  6. Step 6: Final answer
    x = 277.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.