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Finding the Third Proportional to 409,284 and 885,825

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Solution

The third proportional to 409,284 and 885,825 is: 1,917,216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,284 : 885,825 = 885,825 : x
  2. Step 2: Convert to fraction form
    409,284/885,825 = 885,825/x
  3. Step 3: Cross multiply
    409,284x = 885,825 × 885,825
  4. Step 4: Simplify right side
    409,284x = 784,685,930,625
  5. Step 5: Solve for x
    x = 784,685,930,625/409,284
  6. Step 6: Final answer
    x = 1,917,216.24

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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.