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Finding the Third Proportional to 217,705 and 336,266

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Solution

The third proportional to 217,705 and 336,266 is: 519,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,705 : 336,266 = 336,266 : x
  2. Step 2: Convert to fraction form
    217,705/336,266 = 336,266/x
  3. Step 3: Cross multiply
    217,705x = 336,266 × 336,266
  4. Step 4: Simplify right side
    217,705x = 113,074,822,756
  5. Step 5: Solve for x
    x = 113,074,822,756/217,705
  6. Step 6: Final answer
    x = 519,394.70

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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.