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Finding the Third Proportional to 217,206 and 336,318

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Solution

The third proportional to 217,206 and 336,318 is: 520,748.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,206 : 336,318 = 336,318 : x
  2. Step 2: Convert to fraction form
    217,206/336,318 = 336,318/x
  3. Step 3: Cross multiply
    217,206x = 336,318 × 336,318
  4. Step 4: Simplify right side
    217,206x = 113,109,797,124
  5. Step 5: Solve for x
    x = 113,109,797,124/217,206
  6. Step 6: Final answer
    x = 520,748.95

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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.