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Finding the Third Proportional to 178.31 and 391.22

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Solution

The third proportional to 178.31 and 391.22 is: 858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.31 : 391.22 = 391.22 : x
  2. Step 2: Convert to fraction form
    178.31/391.22 = 391.22/x
  3. Step 3: Cross multiply
    178.31x = 391.22 × 391.22
  4. Step 4: Simplify right side
    178.31x = 153,052.11
  5. Step 5: Solve for x
    x = 153,052.11/178.31
  6. Step 6: Final answer
    x = 858.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.