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Finding the Third Proportional to 158.94 and 251.47

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Solution

The third proportional to 158.94 and 251.47 is: 397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.94 : 251.47 = 251.47 : x
  2. Step 2: Convert to fraction form
    158.94/251.47 = 251.47/x
  3. Step 3: Cross multiply
    158.94x = 251.47 × 251.47
  4. Step 4: Simplify right side
    158.94x = 63,236.53
  5. Step 5: Solve for x
    x = 63,236.53/158.94
  6. Step 6: Final answer
    x = 397.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.