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Finding the Third Proportional to 217,684 and 336,231

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Solution

The third proportional to 217,684 and 336,231 is: 519,336.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,684 : 336,231 = 336,231 : x
  2. Step 2: Convert to fraction form
    217,684/336,231 = 336,231/x
  3. Step 3: Cross multiply
    217,684x = 336,231 × 336,231
  4. Step 4: Simplify right side
    217,684x = 113,051,285,361
  5. Step 5: Solve for x
    x = 113,051,285,361/217,684
  6. Step 6: Final answer
    x = 519,336.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.