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Finding the Third Proportional to 981,427 and 2,113,189

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Solution

The third proportional to 981,427 and 2,113,189 is: 4,550,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,427 : 2,113,189 = 2,113,189 : x
  2. Step 2: Convert to fraction form
    981,427/2,113,189 = 2,113,189/x
  3. Step 3: Cross multiply
    981,427x = 2,113,189 × 2,113,189
  4. Step 4: Simplify right side
    981,427x = 4,465,567,749,721
  5. Step 5: Solve for x
    x = 4,465,567,749,721/981,427
  6. Step 6: Final answer
    x = 4,550,076.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.