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Finding the Third Proportional to 69.29 and 151.40

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Solution

The third proportional to 69.29 and 151.40 is: 330.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.29 : 151.40 = 151.40 : x
  2. Step 2: Convert to fraction form
    69.29/151.40 = 151.40/x
  3. Step 3: Cross multiply
    69.29x = 151.40 × 151.40
  4. Step 4: Simplify right side
    69.29x = 22,922.08
  5. Step 5: Solve for x
    x = 22,922.08/69.29
  6. Step 6: Final answer
    x = 330.80

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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.