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Finding the Third Proportional to 403.66 and 634.32

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Solution

The third proportional to 403.66 and 634.32 is: 996.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.66 : 634.32 = 634.32 : x
  2. Step 2: Convert to fraction form
    403.66/634.32 = 634.32/x
  3. Step 3: Cross multiply
    403.66x = 634.32 × 634.32
  4. Step 4: Simplify right side
    403.66x = 402,356.06
  5. Step 5: Solve for x
    x = 402,356.06/403.66
  6. Step 6: Final answer
    x = 996.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.