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Finding the Third Proportional to 69.66 and 151.93

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Solution

The third proportional to 69.66 and 151.93 is: 331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.66 : 151.93 = 151.93 : x
  2. Step 2: Convert to fraction form
    69.66/151.93 = 151.93/x
  3. Step 3: Cross multiply
    69.66x = 151.93 × 151.93
  4. Step 4: Simplify right side
    69.66x = 23,082.04
  5. Step 5: Solve for x
    x = 23,082.04/69.66
  6. Step 6: Final answer
    x = 331.34

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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.