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Finding the Third Proportional to 217,682 and 336,228

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Solution

The third proportional to 217,682 and 336,228 is: 519,332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,682 : 336,228 = 336,228 : x
  2. Step 2: Convert to fraction form
    217,682/336,228 = 336,228/x
  3. Step 3: Cross multiply
    217,682x = 336,228 × 336,228
  4. Step 4: Simplify right side
    217,682x = 113,049,267,984
  5. Step 5: Solve for x
    x = 113,049,267,984/217,682
  6. Step 6: Final answer
    x = 519,332.18

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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.