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Finding the Third Proportional to 69.95 and 152.71

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Solution

The third proportional to 69.95 and 152.71 is: 333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.95 : 152.71 = 152.71 : x
  2. Step 2: Convert to fraction form
    69.95/152.71 = 152.71/x
  3. Step 3: Cross multiply
    69.95x = 152.71 × 152.71
  4. Step 4: Simplify right side
    69.95x = 23,318.99
  5. Step 5: Solve for x
    x = 23,318.99/69.95
  6. Step 6: Final answer
    x = 333.39

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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.