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Finding the Third Proportional to 221,439 and 324,777

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Solution

The third proportional to 221,439 and 324,777 is: 476,339.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,439 : 324,777 = 324,777 : x
  2. Step 2: Convert to fraction form
    221,439/324,777 = 324,777/x
  3. Step 3: Cross multiply
    221,439x = 324,777 × 324,777
  4. Step 4: Simplify right side
    221,439x = 105,480,099,729
  5. Step 5: Solve for x
    x = 105,480,099,729/221,439
  6. Step 6: Final answer
    x = 476,339.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.