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Finding the Third Proportional to 113.07 and 247.49

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Solution

The third proportional to 113.07 and 247.49 is: 541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.07 : 247.49 = 247.49 : x
  2. Step 2: Convert to fraction form
    113.07/247.49 = 247.49/x
  3. Step 3: Cross multiply
    113.07x = 247.49 × 247.49
  4. Step 4: Simplify right side
    113.07x = 61,252.85
  5. Step 5: Solve for x
    x = 61,252.85/113.07
  6. Step 6: Final answer
    x = 541.74

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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.