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Finding the Third Proportional to 639.47 and 1,343.44

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Solution

The third proportional to 639.47 and 1,343.44 is: 2,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.47 : 1,343.44 = 1,343.44 : x
  2. Step 2: Convert to fraction form
    639.47/1,343.44 = 1,343.44/x
  3. Step 3: Cross multiply
    639.47x = 1,343.44 × 1,343.44
  4. Step 4: Simplify right side
    639.47x = 1,804,824.32
  5. Step 5: Solve for x
    x = 1,804,824.32/639.47
  6. Step 6: Final answer
    x = 2,822.38

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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.