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Finding the Third Proportional to 221,844 and 313,898

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Solution

The third proportional to 221,844 and 313,898 is: 444,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,844 : 313,898 = 313,898 : x
  2. Step 2: Convert to fraction form
    221,844/313,898 = 313,898/x
  3. Step 3: Cross multiply
    221,844x = 313,898 × 313,898
  4. Step 4: Simplify right side
    221,844x = 98,531,954,404
  5. Step 5: Solve for x
    x = 98,531,954,404/221,844
  6. Step 6: Final answer
    x = 444,149.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.