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Finding the Third Proportional to 217,704 and 336,265

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Solution

The third proportional to 217,704 and 336,265 is: 519,393.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,704 : 336,265 = 336,265 : x
  2. Step 2: Convert to fraction form
    217,704/336,265 = 336,265/x
  3. Step 3: Cross multiply
    217,704x = 336,265 × 336,265
  4. Step 4: Simplify right side
    217,704x = 113,074,150,225
  5. Step 5: Solve for x
    x = 113,074,150,225/217,704
  6. Step 6: Final answer
    x = 519,393.99

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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.