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Finding the Third Proportional to 11,787 and 15,736.13

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Solution

The third proportional to 11,787 and 15,736.13 is: 21,008.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787 : 15,736.13 = 15,736.13 : x
  2. Step 2: Convert to fraction form
    11,787/15,736.13 = 15,736.13/x
  3. Step 3: Cross multiply
    11,787x = 15,736.13 × 15,736.13
  4. Step 4: Simplify right side
    11,787x = 247,625,630.02
  5. Step 5: Solve for x
    x = 247,625,630.02/11,787
  6. Step 6: Final answer
    x = 21,008.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.