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Finding the Third Proportional to 381,400 and 822,776

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Solution

The third proportional to 381,400 and 822,776 is: 1,774,935.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,400 : 822,776 = 822,776 : x
  2. Step 2: Convert to fraction form
    381,400/822,776 = 822,776/x
  3. Step 3: Cross multiply
    381,400x = 822,776 × 822,776
  4. Step 4: Simplify right side
    381,400x = 676,960,346,176
  5. Step 5: Solve for x
    x = 676,960,346,176/381,400
  6. Step 6: Final answer
    x = 1,774,935.36

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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.