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Finding the Third Proportional to 229.22 and 355.08

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Solution

The third proportional to 229.22 and 355.08 is: 550.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.22 : 355.08 = 355.08 : x
  2. Step 2: Convert to fraction form
    229.22/355.08 = 355.08/x
  3. Step 3: Cross multiply
    229.22x = 355.08 × 355.08
  4. Step 4: Simplify right side
    229.22x = 126,080.47
  5. Step 5: Solve for x
    x = 126,080.47/229.22
  6. Step 6: Final answer
    x = 550.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.