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Finding the Third Proportional to 132,977 and 206,027

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Solution

The third proportional to 132,977 and 206,027 is: 319,206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,977 : 206,027 = 206,027 : x
  2. Step 2: Convert to fraction form
    132,977/206,027 = 206,027/x
  3. Step 3: Cross multiply
    132,977x = 206,027 × 206,027
  4. Step 4: Simplify right side
    132,977x = 42,447,124,729
  5. Step 5: Solve for x
    x = 42,447,124,729/132,977
  6. Step 6: Final answer
    x = 319,206.51

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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.