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Finding the Third Proportional to 414,315 and 902,439

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Solution

The third proportional to 414,315 and 902,439 is: 1,965,644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,315 : 902,439 = 902,439 : x
  2. Step 2: Convert to fraction form
    414,315/902,439 = 902,439/x
  3. Step 3: Cross multiply
    414,315x = 902,439 × 902,439
  4. Step 4: Simplify right side
    414,315x = 814,396,148,721
  5. Step 5: Solve for x
    x = 814,396,148,721/414,315
  6. Step 6: Final answer
    x = 1,965,644.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.