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Finding the Third Proportional to 7,814 and 9,191

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Solution

The third proportional to 7,814 and 9,191 is: 10,810.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814 : 9,191 = 9,191 : x
  2. Step 2: Convert to fraction form
    7,814/9,191 = 9,191/x
  3. Step 3: Cross multiply
    7,814x = 9,191 × 9,191
  4. Step 4: Simplify right side
    7,814x = 84,474,481
  5. Step 5: Solve for x
    x = 84,474,481/7,814
  6. Step 6: Final answer
    x = 10,810.66

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.