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Finding the Third Proportional to 178.31 and 422.91

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Solution

The third proportional to 178.31 and 422.91 is: 1,003.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.31 : 422.91 = 422.91 : x
  2. Step 2: Convert to fraction form
    178.31/422.91 = 422.91/x
  3. Step 3: Cross multiply
    178.31x = 422.91 × 422.91
  4. Step 4: Simplify right side
    178.31x = 178,849.70
  5. Step 5: Solve for x
    x = 178,849.70/178.31
  6. Step 6: Final answer
    x = 1,003.01

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.