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Finding the Third Proportional to 7,117 and 11,179

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Solution

The third proportional to 7,117 and 11,179 is: 17,559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117 : 11,179 = 11,179 : x
  2. Step 2: Convert to fraction form
    7,117/11,179 = 11,179/x
  3. Step 3: Cross multiply
    7,117x = 11,179 × 11,179
  4. Step 4: Simplify right side
    7,117x = 124,970,041
  5. Step 5: Solve for x
    x = 124,970,041/7,117
  6. Step 6: Final answer
    x = 17,559.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.