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Finding the Third Proportional to 409,311 and 885,879

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Solution

The third proportional to 409,311 and 885,879 is: 1,917,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,311 : 885,879 = 885,879 : x
  2. Step 2: Convert to fraction form
    409,311/885,879 = 885,879/x
  3. Step 3: Cross multiply
    409,311x = 885,879 × 885,879
  4. Step 4: Simplify right side
    409,311x = 784,781,602,641
  5. Step 5: Solve for x
    x = 784,781,602,641/409,311
  6. Step 6: Final answer
    x = 1,917,323.51

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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.