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Finding the Third Proportional to 418.38 and 638.44

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Solution

The third proportional to 418.38 and 638.44 is: 974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.38 : 638.44 = 638.44 : x
  2. Step 2: Convert to fraction form
    418.38/638.44 = 638.44/x
  3. Step 3: Cross multiply
    418.38x = 638.44 × 638.44
  4. Step 4: Simplify right side
    418.38x = 407,602.44
  5. Step 5: Solve for x
    x = 407,602.44/418.38
  6. Step 6: Final answer
    x = 974.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.