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Finding the Third Proportional to 408.98 and 632.11

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Solution

The third proportional to 408.98 and 632.11 is: 976.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.98 : 632.11 = 632.11 : x
  2. Step 2: Convert to fraction form
    408.98/632.11 = 632.11/x
  3. Step 3: Cross multiply
    408.98x = 632.11 × 632.11
  4. Step 4: Simplify right side
    408.98x = 399,562.26
  5. Step 5: Solve for x
    x = 399,562.26/408.98
  6. Step 6: Final answer
    x = 976.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.