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Finding the Third Proportional to 27,990 and 60,851

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Solution

The third proportional to 27,990 and 60,851 is: 132,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,990 : 60,851 = 60,851 : x
  2. Step 2: Convert to fraction form
    27,990/60,851 = 60,851/x
  3. Step 3: Cross multiply
    27,990x = 60,851 × 60,851
  4. Step 4: Simplify right side
    27,990x = 3,702,844,201
  5. Step 5: Solve for x
    x = 3,702,844,201/27,990
  6. Step 6: Final answer
    x = 132,291.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.