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Finding the Third Proportional to 381,389 and 822,754

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Solution

The third proportional to 381,389 and 822,754 is: 1,774,891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,389 : 822,754 = 822,754 : x
  2. Step 2: Convert to fraction form
    381,389/822,754 = 822,754/x
  3. Step 3: Cross multiply
    381,389x = 822,754 × 822,754
  4. Step 4: Simplify right side
    381,389x = 676,924,144,516
  5. Step 5: Solve for x
    x = 676,924,144,516/381,389
  6. Step 6: Final answer
    x = 1,774,891.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.