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Finding the Third Proportional to 401,832 and 885,438

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Solution

The third proportional to 401,832 and 885,438 is: 1,951,065.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,832 : 885,438 = 885,438 : x
  2. Step 2: Convert to fraction form
    401,832/885,438 = 885,438/x
  3. Step 3: Cross multiply
    401,832x = 885,438 × 885,438
  4. Step 4: Simplify right side
    401,832x = 784,000,451,844
  5. Step 5: Solve for x
    x = 784,000,451,844/401,832
  6. Step 6: Final answer
    x = 1,951,065.25

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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.