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Finding the Third Proportional to 639,280 and 1,378,192

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Solution

The third proportional to 639,280 and 1,378,192 is: 2,971,175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,280 : 1,378,192 = 1,378,192 : x
  2. Step 2: Convert to fraction form
    639,280/1,378,192 = 1,378,192/x
  3. Step 3: Cross multiply
    639,280x = 1,378,192 × 1,378,192
  4. Step 4: Simplify right side
    639,280x = 1,899,413,188,864
  5. Step 5: Solve for x
    x = 1,899,413,188,864/639,280
  6. Step 6: Final answer
    x = 2,971,175.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.