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Finding the Third Proportional to 634.32 and 959.66

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Solution

The third proportional to 634.32 and 959.66 is: 1,451.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.32 : 959.66 = 959.66 : x
  2. Step 2: Convert to fraction form
    634.32/959.66 = 959.66/x
  3. Step 3: Cross multiply
    634.32x = 959.66 × 959.66
  4. Step 4: Simplify right side
    634.32x = 920,947.62
  5. Step 5: Solve for x
    x = 920,947.62/634.32
  6. Step 6: Final answer
    x = 1,451.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.