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Finding the Third Proportional to 902,610 and 1,982,376

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Solution

The third proportional to 902,610 and 1,982,376 is: 4,353,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,610 : 1,982,376 = 1,982,376 : x
  2. Step 2: Convert to fraction form
    902,610/1,982,376 = 1,982,376/x
  3. Step 3: Cross multiply
    902,610x = 1,982,376 × 1,982,376
  4. Step 4: Simplify right side
    902,610x = 3,929,814,605,376
  5. Step 5: Solve for x
    x = 3,929,814,605,376/902,610
  6. Step 6: Final answer
    x = 4,353,834.55

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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.