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Finding the Third Proportional to 217,938 and 333,249

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Solution

The third proportional to 217,938 and 333,249 is: 509,571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,938 : 333,249 = 333,249 : x
  2. Step 2: Convert to fraction form
    217,938/333,249 = 333,249/x
  3. Step 3: Cross multiply
    217,938x = 333,249 × 333,249
  4. Step 4: Simplify right side
    217,938x = 111,054,896,001
  5. Step 5: Solve for x
    x = 111,054,896,001/217,938
  6. Step 6: Final answer
    x = 509,571.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.