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Finding the Third Proportional to 639.98 and 1,344.38

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Solution

The third proportional to 639.98 and 1,344.38 is: 2,824.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.98 : 1,344.38 = 1,344.38 : x
  2. Step 2: Convert to fraction form
    639.98/1,344.38 = 1,344.38/x
  3. Step 3: Cross multiply
    639.98x = 1,344.38 × 1,344.38
  4. Step 4: Simplify right side
    639.98x = 1,807,344.14
  5. Step 5: Solve for x
    x = 1,807,344.14/639.98
  6. Step 6: Final answer
    x = 2,824.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.