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Finding the Third Proportional to 518,909 and 1,139,974

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Solution

The third proportional to 518,909 and 1,139,974 is: 2,504,371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,909 : 1,139,974 = 1,139,974 : x
  2. Step 2: Convert to fraction form
    518,909/1,139,974 = 1,139,974/x
  3. Step 3: Cross multiply
    518,909x = 1,139,974 × 1,139,974
  4. Step 4: Simplify right side
    518,909x = 1,299,540,720,676
  5. Step 5: Solve for x
    x = 1,299,540,720,676/518,909
  6. Step 6: Final answer
    x = 2,504,371.13

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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.