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Finding the Third Proportional to 27,978 and 43,323

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Solution

The third proportional to 27,978 and 43,323 is: 67,084.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978 : 43,323 = 43,323 : x
  2. Step 2: Convert to fraction form
    27,978/43,323 = 43,323/x
  3. Step 3: Cross multiply
    27,978x = 43,323 × 43,323
  4. Step 4: Simplify right side
    27,978x = 1,876,882,329
  5. Step 5: Solve for x
    x = 1,876,882,329/27,978
  6. Step 6: Final answer
    x = 67,084.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.