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Finding the Third Proportional to 12,780 and 29,874

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Solution

The third proportional to 12,780 and 29,874 is: 69,832.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780 : 29,874 = 29,874 : x
  2. Step 2: Convert to fraction form
    12,780/29,874 = 29,874/x
  3. Step 3: Cross multiply
    12,780x = 29,874 × 29,874
  4. Step 4: Simplify right side
    12,780x = 892,455,876
  5. Step 5: Solve for x
    x = 892,455,876/12,780
  6. Step 6: Final answer
    x = 69,832.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.