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Finding the Third Proportional to 85,162 and 128,922

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Solution

The third proportional to 85,162 and 128,922 is: 195,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,162 : 128,922 = 128,922 : x
  2. Step 2: Convert to fraction form
    85,162/128,922 = 128,922/x
  3. Step 3: Cross multiply
    85,162x = 128,922 × 128,922
  4. Step 4: Simplify right side
    85,162x = 16,620,882,084
  5. Step 5: Solve for x
    x = 16,620,882,084/85,162
  6. Step 6: Final answer
    x = 195,167.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.