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Finding the Third Proportional to 217,224 and 322,449

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Solution

The third proportional to 217,224 and 322,449 is: 478,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,224 : 322,449 = 322,449 : x
  2. Step 2: Convert to fraction form
    217,224/322,449 = 322,449/x
  3. Step 3: Cross multiply
    217,224x = 322,449 × 322,449
  4. Step 4: Simplify right side
    217,224x = 103,973,357,601
  5. Step 5: Solve for x
    x = 103,973,357,601/217,224
  6. Step 6: Final answer
    x = 478,645.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.