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Finding the Third Proportional to 209.94 and 502.14

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Solution

The third proportional to 209.94 and 502.14 is: 1,201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.94 : 502.14 = 502.14 : x
  2. Step 2: Convert to fraction form
    209.94/502.14 = 502.14/x
  3. Step 3: Cross multiply
    209.94x = 502.14 × 502.14
  4. Step 4: Simplify right side
    209.94x = 252,141.28
  5. Step 5: Solve for x
    x = 252,141.28/209.94
  6. Step 6: Final answer
    x = 1,201.04

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.