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Finding the Third Proportional to 9,878 and 11,714

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Solution

The third proportional to 9,878 and 11,714 is: 13,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878 : 11,714 = 11,714 : x
  2. Step 2: Convert to fraction form
    9,878/11,714 = 11,714/x
  3. Step 3: Cross multiply
    9,878x = 11,714 × 11,714
  4. Step 4: Simplify right side
    9,878x = 137,217,796
  5. Step 5: Solve for x
    x = 137,217,796/9,878
  6. Step 6: Final answer
    x = 13,891.25

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.