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Finding the Third Proportional to 639.84 and 1,451.81

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Solution

The third proportional to 639.84 and 1,451.81 is: 3,294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.84 : 1,451.81 = 1,451.81 : x
  2. Step 2: Convert to fraction form
    639.84/1,451.81 = 1,451.81/x
  3. Step 3: Cross multiply
    639.84x = 1,451.81 × 1,451.81
  4. Step 4: Simplify right side
    639.84x = 2,107,759.54
  5. Step 5: Solve for x
    x = 2,107,759.54/639.84
  6. Step 6: Final answer
    x = 3,294.18

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.