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Finding the Third Proportional to 639.35 and 1,376.79

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Solution

The third proportional to 639.35 and 1,376.79 is: 2,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.35 : 1,376.79 = 1,376.79 : x
  2. Step 2: Convert to fraction form
    639.35/1,376.79 = 1,376.79/x
  3. Step 3: Cross multiply
    639.35x = 1,376.79 × 1,376.79
  4. Step 4: Simplify right side
    639.35x = 1,895,548.12
  5. Step 5: Solve for x
    x = 1,895,548.12/639.35
  6. Step 6: Final answer
    x = 2,964.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.