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Finding the Third Proportional to 221,810 and 313,849

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Solution

The third proportional to 221,810 and 313,849 is: 444,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,810 : 313,849 = 313,849 : x
  2. Step 2: Convert to fraction form
    221,810/313,849 = 313,849/x
  3. Step 3: Cross multiply
    221,810x = 313,849 × 313,849
  4. Step 4: Simplify right side
    221,810x = 98,501,194,801
  5. Step 5: Solve for x
    x = 98,501,194,801/221,810
  6. Step 6: Final answer
    x = 444,079.14

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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.