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Finding the Third Proportional to 981,429 and 2,113,193

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Solution

The third proportional to 981,429 and 2,113,193 is: 4,550,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,429 : 2,113,193 = 2,113,193 : x
  2. Step 2: Convert to fraction form
    981,429/2,113,193 = 2,113,193/x
  3. Step 3: Cross multiply
    981,429x = 2,113,193 × 2,113,193
  4. Step 4: Simplify right side
    981,429x = 4,465,584,655,249
  5. Step 5: Solve for x
    x = 4,465,584,655,249/981,429
  6. Step 6: Final answer
    x = 4,550,084.27

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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.