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Finding the Third Proportional to 159.47 and 238.57

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Solution

The third proportional to 159.47 and 238.57 is: 356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.47 : 238.57 = 238.57 : x
  2. Step 2: Convert to fraction form
    159.47/238.57 = 238.57/x
  3. Step 3: Cross multiply
    159.47x = 238.57 × 238.57
  4. Step 4: Simplify right side
    159.47x = 56,915.79
  5. Step 5: Solve for x
    x = 56,915.79/159.47
  6. Step 6: Final answer
    x = 356.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.