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Finding the Third Proportional to 217,523 and 336,149

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Solution

The third proportional to 217,523 and 336,149 is: 519,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,523 : 336,149 = 336,149 : x
  2. Step 2: Convert to fraction form
    217,523/336,149 = 336,149/x
  3. Step 3: Cross multiply
    217,523x = 336,149 × 336,149
  4. Step 4: Simplify right side
    217,523x = 112,996,150,201
  5. Step 5: Solve for x
    x = 112,996,150,201/217,523
  6. Step 6: Final answer
    x = 519,467.60

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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.