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Finding the Third Proportional to 212,238 and 318,339

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Solution

The third proportional to 212,238 and 318,339 is: 477,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,238 : 318,339 = 318,339 : x
  2. Step 2: Convert to fraction form
    212,238/318,339 = 318,339/x
  3. Step 3: Cross multiply
    212,238x = 318,339 × 318,339
  4. Step 4: Simplify right side
    212,238x = 101,339,718,921
  5. Step 5: Solve for x
    x = 101,339,718,921/212,238
  6. Step 6: Final answer
    x = 477,481.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.