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Finding the Third Proportional to 518,976 and 1,140,120

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Solution

The third proportional to 518,976 and 1,140,120 is: 2,504,689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,976 : 1,140,120 = 1,140,120 : x
  2. Step 2: Convert to fraction form
    518,976/1,140,120 = 1,140,120/x
  3. Step 3: Cross multiply
    518,976x = 1,140,120 × 1,140,120
  4. Step 4: Simplify right side
    518,976x = 1,299,873,614,400
  5. Step 5: Solve for x
    x = 1,299,873,614,400/518,976
  6. Step 6: Final answer
    x = 2,504,689.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.