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Finding the Third Proportional to 728,976 and 1,577,760

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Solution

The third proportional to 728,976 and 1,577,760 is: 3,414,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,976 : 1,577,760 = 1,577,760 : x
  2. Step 2: Convert to fraction form
    728,976/1,577,760 = 1,577,760/x
  3. Step 3: Cross multiply
    728,976x = 1,577,760 × 1,577,760
  4. Step 4: Simplify right side
    728,976x = 2,489,326,617,600
  5. Step 5: Solve for x
    x = 2,489,326,617,600/728,976
  6. Step 6: Final answer
    x = 3,414,826.58

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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.