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Finding the Third Proportional to 338.78 and 502.30

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Solution

The third proportional to 338.78 and 502.30 is: 744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.78 : 502.30 = 502.30 : x
  2. Step 2: Convert to fraction form
    338.78/502.30 = 502.30/x
  3. Step 3: Cross multiply
    338.78x = 502.30 × 502.30
  4. Step 4: Simplify right side
    338.78x = 252,305.16
  5. Step 5: Solve for x
    x = 252,305.16/338.78
  6. Step 6: Final answer
    x = 744.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.