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Finding the Third Proportional to 381,391 and 822,758

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Solution

The third proportional to 381,391 and 822,758 is: 1,774,899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,391 : 822,758 = 822,758 : x
  2. Step 2: Convert to fraction form
    381,391/822,758 = 822,758/x
  3. Step 3: Cross multiply
    381,391x = 822,758 × 822,758
  4. Step 4: Simplify right side
    381,391x = 676,930,726,564
  5. Step 5: Solve for x
    x = 676,930,726,564/381,391
  6. Step 6: Final answer
    x = 1,774,899.58

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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.