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Finding the Third Proportional to 7,790 and 17,891

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Solution

The third proportional to 7,790 and 17,891 is: 41,089.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790 : 17,891 = 17,891 : x
  2. Step 2: Convert to fraction form
    7,790/17,891 = 17,891/x
  3. Step 3: Cross multiply
    7,790x = 17,891 × 17,891
  4. Step 4: Simplify right side
    7,790x = 320,087,881
  5. Step 5: Solve for x
    x = 320,087,881/7,790
  6. Step 6: Final answer
    x = 41,089.59

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.