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Finding the Third Proportional to 221,571 and 313,533

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Solution

The third proportional to 221,571 and 313,533 is: 443,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,571 : 313,533 = 313,533 : x
  2. Step 2: Convert to fraction form
    221,571/313,533 = 313,533/x
  3. Step 3: Cross multiply
    221,571x = 313,533 × 313,533
  4. Step 4: Simplify right side
    221,571x = 98,302,942,089
  5. Step 5: Solve for x
    x = 98,302,942,089/221,571
  6. Step 6: Final answer
    x = 443,663.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.