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Finding the Third Proportional to 134.31 and 315.44

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Solution

The third proportional to 134.31 and 315.44 is: 740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.31 : 315.44 = 315.44 : x
  2. Step 2: Convert to fraction form
    134.31/315.44 = 315.44/x
  3. Step 3: Cross multiply
    134.31x = 315.44 × 315.44
  4. Step 4: Simplify right side
    134.31x = 99,500.82
  5. Step 5: Solve for x
    x = 99,500.82/134.31
  6. Step 6: Final answer
    x = 740.82

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.