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Finding the Third Proportional to 12,291 and 28,887

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Solution

The third proportional to 12,291 and 28,887 is: 67,891.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291 : 28,887 = 28,887 : x
  2. Step 2: Convert to fraction form
    12,291/28,887 = 28,887/x
  3. Step 3: Cross multiply
    12,291x = 28,887 × 28,887
  4. Step 4: Simplify right side
    12,291x = 834,458,769
  5. Step 5: Solve for x
    x = 834,458,769/12,291
  6. Step 6: Final answer
    x = 67,891.85

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.