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Finding the Third Proportional to 380,981 and 827,638

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Solution

The third proportional to 380,981 and 827,638 is: 1,797,949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,981 : 827,638 = 827,638 : x
  2. Step 2: Convert to fraction form
    380,981/827,638 = 827,638/x
  3. Step 3: Cross multiply
    380,981x = 827,638 × 827,638
  4. Step 4: Simplify right side
    380,981x = 684,984,659,044
  5. Step 5: Solve for x
    x = 684,984,659,044/380,981
  6. Step 6: Final answer
    x = 1,797,949.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.