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Finding the Third Proportional to 152.58 and 217.41

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Solution

The third proportional to 152.58 and 217.41 is: 309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.58 : 217.41 = 217.41 : x
  2. Step 2: Convert to fraction form
    152.58/217.41 = 217.41/x
  3. Step 3: Cross multiply
    152.58x = 217.41 × 217.41
  4. Step 4: Simplify right side
    152.58x = 47,265.48
  5. Step 5: Solve for x
    x = 47,265.48/152.58
  6. Step 6: Final answer
    x = 309.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.