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Finding the Third Proportional to 634.13 and 1,396.13

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Solution

The third proportional to 634.13 and 1,396.13 is: 3,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.13 : 1,396.13 = 1,396.13 : x
  2. Step 2: Convert to fraction form
    634.13/1,396.13 = 1,396.13/x
  3. Step 3: Cross multiply
    634.13x = 1,396.13 × 1,396.13
  4. Step 4: Simplify right side
    634.13x = 1,949,165.02
  5. Step 5: Solve for x
    x = 1,949,165.02/634.13
  6. Step 6: Final answer
    x = 3,073.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.