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Finding the Third Proportional to 639.25 and 1,369.63

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Solution

The third proportional to 639.25 and 1,369.63 is: 2,934.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.25 : 1,369.63 = 1,369.63 : x
  2. Step 2: Convert to fraction form
    639.25/1,369.63 = 1,369.63/x
  3. Step 3: Cross multiply
    639.25x = 1,369.63 × 1,369.63
  4. Step 4: Simplify right side
    639.25x = 1,875,872.64
  5. Step 5: Solve for x
    x = 1,875,872.64/639.25
  6. Step 6: Final answer
    x = 2,934.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.