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Finding the Third Proportional to 7,616 and 11,138

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Solution

The third proportional to 7,616 and 11,138 is: 16,288.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616 : 11,138 = 11,138 : x
  2. Step 2: Convert to fraction form
    7,616/11,138 = 11,138/x
  3. Step 3: Cross multiply
    7,616x = 11,138 × 11,138
  4. Step 4: Simplify right side
    7,616x = 124,055,044
  5. Step 5: Solve for x
    x = 124,055,044/7,616
  6. Step 6: Final answer
    x = 16,288.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.