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Finding the Third Proportional to 217,439 and 331,782

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Solution

The third proportional to 217,439 and 331,782 is: 506,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,439 : 331,782 = 331,782 : x
  2. Step 2: Convert to fraction form
    217,439/331,782 = 331,782/x
  3. Step 3: Cross multiply
    217,439x = 331,782 × 331,782
  4. Step 4: Simplify right side
    217,439x = 110,079,295,524
  5. Step 5: Solve for x
    x = 110,079,295,524/217,439
  6. Step 6: Final answer
    x = 506,253.69

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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.