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Finding the Third Proportional to 728,979 and 1,577,766

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Solution

The third proportional to 728,979 and 1,577,766 is: 3,414,838.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,979 : 1,577,766 = 1,577,766 : x
  2. Step 2: Convert to fraction form
    728,979/1,577,766 = 1,577,766/x
  3. Step 3: Cross multiply
    728,979x = 1,577,766 × 1,577,766
  4. Step 4: Simplify right side
    728,979x = 2,489,345,550,756
  5. Step 5: Solve for x
    x = 2,489,345,550,756/728,979
  6. Step 6: Final answer
    x = 3,414,838.49

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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.