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Finding the Third Proportional to 27,988 and 42,198

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Solution

The third proportional to 27,988 and 42,198 is: 63,622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,988 : 42,198 = 42,198 : x
  2. Step 2: Convert to fraction form
    27,988/42,198 = 42,198/x
  3. Step 3: Cross multiply
    27,988x = 42,198 × 42,198
  4. Step 4: Simplify right side
    27,988x = 1,780,671,204
  5. Step 5: Solve for x
    x = 1,780,671,204/27,988
  6. Step 6: Final answer
    x = 63,622.67

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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.