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Finding the Third Proportional to 416.38 and 638.94

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Solution

The third proportional to 416.38 and 638.94 is: 980.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.38 : 638.94 = 638.94 : x
  2. Step 2: Convert to fraction form
    416.38/638.94 = 638.94/x
  3. Step 3: Cross multiply
    416.38x = 638.94 × 638.94
  4. Step 4: Simplify right side
    416.38x = 408,241.13
  5. Step 5: Solve for x
    x = 408,241.13/416.38
  6. Step 6: Final answer
    x = 980.47

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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.