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Finding the Third Proportional to 639.19 and 1,327.31

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Solution

The third proportional to 639.19 and 1,327.31 is: 2,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.19 : 1,327.31 = 1,327.31 : x
  2. Step 2: Convert to fraction form
    639.19/1,327.31 = 1,327.31/x
  3. Step 3: Cross multiply
    639.19x = 1,327.31 × 1,327.31
  4. Step 4: Simplify right side
    639.19x = 1,761,758.47
  5. Step 5: Solve for x
    x = 1,761,758.47/639.19
  6. Step 6: Final answer
    x = 2,756.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.