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Finding the Third Proportional to 451,474 and 940,315

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Solution

The third proportional to 451,474 and 940,315 is: 1,958,456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,474 : 940,315 = 940,315 : x
  2. Step 2: Convert to fraction form
    451,474/940,315 = 940,315/x
  3. Step 3: Cross multiply
    451,474x = 940,315 × 940,315
  4. Step 4: Simplify right side
    451,474x = 884,192,299,225
  5. Step 5: Solve for x
    x = 884,192,299,225/451,474
  6. Step 6: Final answer
    x = 1,958,456.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.