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Finding the Third Proportional to 206,960 and 319,606

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Solution

The third proportional to 206,960 and 319,606 is: 493,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,960 : 319,606 = 319,606 : x
  2. Step 2: Convert to fraction form
    206,960/319,606 = 319,606/x
  3. Step 3: Cross multiply
    206,960x = 319,606 × 319,606
  4. Step 4: Simplify right side
    206,960x = 102,147,995,236
  5. Step 5: Solve for x
    x = 102,147,995,236/206,960
  6. Step 6: Final answer
    x = 493,563.95

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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.