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Finding the Third Proportional to 140.17 and 305.96

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Solution

The third proportional to 140.17 and 305.96 is: 667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.17 : 305.96 = 305.96 : x
  2. Step 2: Convert to fraction form
    140.17/305.96 = 305.96/x
  3. Step 3: Cross multiply
    140.17x = 305.96 × 305.96
  4. Step 4: Simplify right side
    140.17x = 93,614.49
  5. Step 5: Solve for x
    x = 93,614.49/140.17
  6. Step 6: Final answer
    x = 667.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.