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Finding the Third Proportional to 107.18 and 229.24

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Solution

The third proportional to 107.18 and 229.24 is: 490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.18 : 229.24 = 229.24 : x
  2. Step 2: Convert to fraction form
    107.18/229.24 = 229.24/x
  3. Step 3: Cross multiply
    107.18x = 229.24 × 229.24
  4. Step 4: Simplify right side
    107.18x = 52,549.29
  5. Step 5: Solve for x
    x = 52,549.29/107.18
  6. Step 6: Final answer
    x = 490.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.