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Finding the Third Proportional to 343.62 and 639.77

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Solution

The third proportional to 343.62 and 639.77 is: 1,191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.62 : 639.77 = 639.77 : x
  2. Step 2: Convert to fraction form
    343.62/639.77 = 639.77/x
  3. Step 3: Cross multiply
    343.62x = 639.77 × 639.77
  4. Step 4: Simplify right side
    343.62x = 409,310.05
  5. Step 5: Solve for x
    x = 409,310.05/343.62
  6. Step 6: Final answer
    x = 1,191.18

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.