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Finding the Third Proportional to 9,786 and 11,886

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Solution

The third proportional to 9,786 and 11,886 is: 14,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786 : 11,886 = 11,886 : x
  2. Step 2: Convert to fraction form
    9,786/11,886 = 11,886/x
  3. Step 3: Cross multiply
    9,786x = 11,886 × 11,886
  4. Step 4: Simplify right side
    9,786x = 141,276,996
  5. Step 5: Solve for x
    x = 141,276,996/9,786
  6. Step 6: Final answer
    x = 14,436.64

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.