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Finding the Third Proportional to 229.19 and 502.38

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Solution

The third proportional to 229.19 and 502.38 is: 1,101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.19 : 502.38 = 502.38 : x
  2. Step 2: Convert to fraction form
    229.19/502.38 = 502.38/x
  3. Step 3: Cross multiply
    229.19x = 502.38 × 502.38
  4. Step 4: Simplify right side
    229.19x = 252,380.64
  5. Step 5: Solve for x
    x = 252,380.64/229.19
  6. Step 6: Final answer
    x = 1,101.20

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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.