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Finding the Third Proportional to 11,616 and 15,888

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Solution

The third proportional to 11,616 and 15,888 is: 21,731.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616 : 15,888 = 15,888 : x
  2. Step 2: Convert to fraction form
    11,616/15,888 = 15,888/x
  3. Step 3: Cross multiply
    11,616x = 15,888 × 15,888
  4. Step 4: Simplify right side
    11,616x = 252,428,544
  5. Step 5: Solve for x
    x = 252,428,544/11,616
  6. Step 6: Final answer
    x = 21,731.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.