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Finding the Third Proportional to 728,987 and 1,577,782

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Solution

The third proportional to 728,987 and 1,577,782 is: 3,414,870.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,987 : 1,577,782 = 1,577,782 : x
  2. Step 2: Convert to fraction form
    728,987/1,577,782 = 1,577,782/x
  3. Step 3: Cross multiply
    728,987x = 1,577,782 × 1,577,782
  4. Step 4: Simplify right side
    728,987x = 2,489,396,039,524
  5. Step 5: Solve for x
    x = 2,489,396,039,524/728,987
  6. Step 6: Final answer
    x = 3,414,870.28

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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.