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Finding the Third Proportional to 113.17 and 247.96

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Solution

The third proportional to 113.17 and 247.96 is: 543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.17 : 247.96 = 247.96 : x
  2. Step 2: Convert to fraction form
    113.17/247.96 = 247.96/x
  3. Step 3: Cross multiply
    113.17x = 247.96 × 247.96
  4. Step 4: Simplify right side
    113.17x = 61,482.69
  5. Step 5: Solve for x
    x = 61,482.69/113.17
  6. Step 6: Final answer
    x = 543.29

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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.