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Finding the Third Proportional to 113.20 and 247.01

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Solution

The third proportional to 113.20 and 247.01 is: 538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.20 : 247.01 = 247.01 : x
  2. Step 2: Convert to fraction form
    113.20/247.01 = 247.01/x
  3. Step 3: Cross multiply
    113.20x = 247.01 × 247.01
  4. Step 4: Simplify right side
    113.20x = 61,012.86
  5. Step 5: Solve for x
    x = 61,012.86/113.20
  6. Step 6: Final answer
    x = 538.97

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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.