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Finding the Third Proportional to 406,422 and 885,251

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Solution

The third proportional to 406,422 and 885,251 is: 1,928,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,422 : 885,251 = 885,251 : x
  2. Step 2: Convert to fraction form
    406,422/885,251 = 885,251/x
  3. Step 3: Cross multiply
    406,422x = 885,251 × 885,251
  4. Step 4: Simplify right side
    406,422x = 783,669,333,001
  5. Step 5: Solve for x
    x = 783,669,333,001/406,422
  6. Step 6: Final answer
    x = 1,928,215.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.