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Finding the Third Proportional to 30,162 and 45,867

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Solution

The third proportional to 30,162 and 45,867 is: 69,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,162 : 45,867 = 45,867 : x
  2. Step 2: Convert to fraction form
    30,162/45,867 = 45,867/x
  3. Step 3: Cross multiply
    30,162x = 45,867 × 45,867
  4. Step 4: Simplify right side
    30,162x = 2,103,781,689
  5. Step 5: Solve for x
    x = 2,103,781,689/30,162
  6. Step 6: Final answer
    x = 69,749.41

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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.