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Finding the Third Proportional to 28,478 and 61,168

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Solution

The third proportional to 28,478 and 61,168 is: 131,382.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,478 : 61,168 = 61,168 : x
  2. Step 2: Convert to fraction form
    28,478/61,168 = 61,168/x
  3. Step 3: Cross multiply
    28,478x = 61,168 × 61,168
  4. Step 4: Simplify right side
    28,478x = 3,741,524,224
  5. Step 5: Solve for x
    x = 3,741,524,224/28,478
  6. Step 6: Final answer
    x = 131,382.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.