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Finding the Third Proportional to 10,990 and 17,159

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Solution

The third proportional to 10,990 and 17,159 is: 26,790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,990 : 17,159 = 17,159 : x
  2. Step 2: Convert to fraction form
    10,990/17,159 = 17,159/x
  3. Step 3: Cross multiply
    10,990x = 17,159 × 17,159
  4. Step 4: Simplify right side
    10,990x = 294,431,281
  5. Step 5: Solve for x
    x = 294,431,281/10,990
  6. Step 6: Final answer
    x = 26,790.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.