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Finding the Third Proportional to 217,716 and 336,405

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Solution

The third proportional to 217,716 and 336,405 is: 519,797.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,716 : 336,405 = 336,405 : x
  2. Step 2: Convert to fraction form
    217,716/336,405 = 336,405/x
  3. Step 3: Cross multiply
    217,716x = 336,405 × 336,405
  4. Step 4: Simplify right side
    217,716x = 113,168,324,025
  5. Step 5: Solve for x
    x = 113,168,324,025/217,716
  6. Step 6: Final answer
    x = 519,797.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.