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Finding the Third Proportional to 635,278 and 1,396,512

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Solution

The third proportional to 635,278 and 1,396,512 is: 3,069,909.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,278 : 1,396,512 = 1,396,512 : x
  2. Step 2: Convert to fraction form
    635,278/1,396,512 = 1,396,512/x
  3. Step 3: Cross multiply
    635,278x = 1,396,512 × 1,396,512
  4. Step 4: Simplify right side
    635,278x = 1,950,245,766,144
  5. Step 5: Solve for x
    x = 1,950,245,766,144/635,278
  6. Step 6: Final answer
    x = 3,069,909.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.