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Finding the Third Proportional to 135,961.50 and 206,823

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Solution

The third proportional to 135,961.50 and 206,823 is: 314,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,961.50 : 206,823 = 206,823 : x
  2. Step 2: Convert to fraction form
    135,961.50/206,823 = 206,823/x
  3. Step 3: Cross multiply
    135,961.50x = 206,823 × 206,823
  4. Step 4: Simplify right side
    135,961.50x = 42,775,753,329
  5. Step 5: Solve for x
    x = 42,775,753,329/135,961.50
  6. Step 6: Final answer
    x = 314,616.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.