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Finding the Third Proportional to 902,609 and 1,982,374

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Solution

The third proportional to 902,609 and 1,982,374 is: 4,353,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,609 : 1,982,374 = 1,982,374 : x
  2. Step 2: Convert to fraction form
    902,609/1,982,374 = 1,982,374/x
  3. Step 3: Cross multiply
    902,609x = 1,982,374 × 1,982,374
  4. Step 4: Simplify right side
    902,609x = 3,929,806,675,876
  5. Step 5: Solve for x
    x = 3,929,806,675,876/902,609
  6. Step 6: Final answer
    x = 4,353,830.59

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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.