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Finding the Third Proportional to 312.31 and 342.31

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Solution

The third proportional to 312.31 and 342.31 is: 375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.31 : 342.31 = 342.31 : x
  2. Step 2: Convert to fraction form
    312.31/342.31 = 342.31/x
  3. Step 3: Cross multiply
    312.31x = 342.31 × 342.31
  4. Step 4: Simplify right side
    312.31x = 117,177.85
  5. Step 5: Solve for x
    x = 117,177.85/312.31
  6. Step 6: Final answer
    x = 375.19

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.