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Finding the Third Proportional to 27,717 and 42,268

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Solution

The third proportional to 27,717 and 42,268 is: 64,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,717 : 42,268 = 42,268 : x
  2. Step 2: Convert to fraction form
    27,717/42,268 = 42,268/x
  3. Step 3: Cross multiply
    27,717x = 42,268 × 42,268
  4. Step 4: Simplify right side
    27,717x = 1,786,583,824
  5. Step 5: Solve for x
    x = 1,786,583,824/27,717
  6. Step 6: Final answer
    x = 64,458.05

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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.