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Finding the Third Proportional to 30,891 and 45,177

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Solution

The third proportional to 30,891 and 45,177 is: 66,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891 : 45,177 = 45,177 : x
  2. Step 2: Convert to fraction form
    30,891/45,177 = 45,177/x
  3. Step 3: Cross multiply
    30,891x = 45,177 × 45,177
  4. Step 4: Simplify right side
    30,891x = 2,040,961,329
  5. Step 5: Solve for x
    x = 2,040,961,329/30,891
  6. Step 6: Final answer
    x = 66,069.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.