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Finding the Third Proportional to 70.38 and 152.75

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Solution

The third proportional to 70.38 and 152.75 is: 331.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.38 : 152.75 = 152.75 : x
  2. Step 2: Convert to fraction form
    70.38/152.75 = 152.75/x
  3. Step 3: Cross multiply
    70.38x = 152.75 × 152.75
  4. Step 4: Simplify right side
    70.38x = 23,332.56
  5. Step 5: Solve for x
    x = 23,332.56/70.38
  6. Step 6: Final answer
    x = 331.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.