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Finding the Third Proportional to 113.69 and 247.94

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Solution

The third proportional to 113.69 and 247.94 is: 540.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.69 : 247.94 = 247.94 : x
  2. Step 2: Convert to fraction form
    113.69/247.94 = 247.94/x
  3. Step 3: Cross multiply
    113.69x = 247.94 × 247.94
  4. Step 4: Simplify right side
    113.69x = 61,473.00
  5. Step 5: Solve for x
    x = 61,473.00/113.69
  6. Step 6: Final answer
    x = 540.72

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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.