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Finding the Third Proportional to 221,824 and 313,870

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Solution

The third proportional to 221,824 and 313,870 is: 444,110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,824 : 313,870 = 313,870 : x
  2. Step 2: Convert to fraction form
    221,824/313,870 = 313,870/x
  3. Step 3: Cross multiply
    221,824x = 313,870 × 313,870
  4. Step 4: Simplify right side
    221,824x = 98,514,376,900
  5. Step 5: Solve for x
    x = 98,514,376,900/221,824
  6. Step 6: Final answer
    x = 444,110.54

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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.