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Finding the Third Proportional to 643,868 and 1,271,521

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Solution

The third proportional to 643,868 and 1,271,521 is: 2,511,020.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,868 : 1,271,521 = 1,271,521 : x
  2. Step 2: Convert to fraction form
    643,868/1,271,521 = 1,271,521/x
  3. Step 3: Cross multiply
    643,868x = 1,271,521 × 1,271,521
  4. Step 4: Simplify right side
    643,868x = 1,616,765,653,441
  5. Step 5: Solve for x
    x = 1,616,765,653,441/643,868
  6. Step 6: Final answer
    x = 2,511,020.35

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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.