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Finding the Third Proportional to 643,866 and 1,271,517

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Solution

The third proportional to 643,866 and 1,271,517 is: 2,511,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,866 : 1,271,517 = 1,271,517 : x
  2. Step 2: Convert to fraction form
    643,866/1,271,517 = 1,271,517/x
  3. Step 3: Cross multiply
    643,866x = 1,271,517 × 1,271,517
  4. Step 4: Simplify right side
    643,866x = 1,616,755,481,289
  5. Step 5: Solve for x
    x = 1,616,755,481,289/643,866
  6. Step 6: Final answer
    x = 2,511,012.36

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.