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Finding the Third Proportional to 217,439 and 345,923

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Solution

The third proportional to 217,439 and 345,923 is: 550,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,439 : 345,923 = 345,923 : x
  2. Step 2: Convert to fraction form
    217,439/345,923 = 345,923/x
  3. Step 3: Cross multiply
    217,439x = 345,923 × 345,923
  4. Step 4: Simplify right side
    217,439x = 119,662,721,929
  5. Step 5: Solve for x
    x = 119,662,721,929/217,439
  6. Step 6: Final answer
    x = 550,327.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.