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Finding the Third Proportional to 67 and 146.56

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Solution

The third proportional to 67 and 146.56 is: 320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67 : 146.56 = 146.56 : x
  2. Step 2: Convert to fraction form
    67/146.56 = 146.56/x
  3. Step 3: Cross multiply
    67x = 146.56 × 146.56
  4. Step 4: Simplify right side
    67x = 21,480.57
  5. Step 5: Solve for x
    x = 21,480.57/67
  6. Step 6: Final answer
    x = 320.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.