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Finding the Third Proportional to 217,678 and 336,367

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Solution

The third proportional to 217,678 and 336,367 is: 519,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,678 : 336,367 = 336,367 : x
  2. Step 2: Convert to fraction form
    217,678/336,367 = 336,367/x
  3. Step 3: Cross multiply
    217,678x = 336,367 × 336,367
  4. Step 4: Simplify right side
    217,678x = 113,142,758,689
  5. Step 5: Solve for x
    x = 113,142,758,689/217,678
  6. Step 6: Final answer
    x = 519,771.22

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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.