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Finding the Third Proportional to 113.34 and 247.31

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Solution

The third proportional to 113.34 and 247.31 is: 539.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.34 : 247.31 = 247.31 : x
  2. Step 2: Convert to fraction form
    113.34/247.31 = 247.31/x
  3. Step 3: Cross multiply
    113.34x = 247.31 × 247.31
  4. Step 4: Simplify right side
    113.34x = 61,163.47
  5. Step 5: Solve for x
    x = 61,163.47/113.34
  6. Step 6: Final answer
    x = 539.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.