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Finding the Third Proportional to 68.53 and 149.91

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Solution

The third proportional to 68.53 and 149.91 is: 327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.53 : 149.91 = 149.91 : x
  2. Step 2: Convert to fraction form
    68.53/149.91 = 149.91/x
  3. Step 3: Cross multiply
    68.53x = 149.91 × 149.91
  4. Step 4: Simplify right side
    68.53x = 22,471.88
  5. Step 5: Solve for x
    x = 22,471.88/68.53
  6. Step 6: Final answer
    x = 327.91

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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.