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Finding the Third Proportional to 221,433 and 343,809

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Solution

The third proportional to 221,433 and 343,809 is: 533,816.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,433 : 343,809 = 343,809 : x
  2. Step 2: Convert to fraction form
    221,433/343,809 = 343,809/x
  3. Step 3: Cross multiply
    221,433x = 343,809 × 343,809
  4. Step 4: Simplify right side
    221,433x = 118,204,628,481
  5. Step 5: Solve for x
    x = 118,204,628,481/221,433
  6. Step 6: Final answer
    x = 533,816.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.