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Finding the Third Proportional to 221,812 and 313,851

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Solution

The third proportional to 221,812 and 313,851 is: 444,080.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,812 : 313,851 = 313,851 : x
  2. Step 2: Convert to fraction form
    221,812/313,851 = 313,851/x
  3. Step 3: Cross multiply
    221,812x = 313,851 × 313,851
  4. Step 4: Simplify right side
    221,812x = 98,502,450,201
  5. Step 5: Solve for x
    x = 98,502,450,201/221,812
  6. Step 6: Final answer
    x = 444,080.80

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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.