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Finding the Third Proportional to 9,191 and 12,319

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Solution

The third proportional to 9,191 and 12,319 is: 16,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191 : 12,319 = 12,319 : x
  2. Step 2: Convert to fraction form
    9,191/12,319 = 12,319/x
  3. Step 3: Cross multiply
    9,191x = 12,319 × 12,319
  4. Step 4: Simplify right side
    9,191x = 151,757,761
  5. Step 5: Solve for x
    x = 151,757,761/9,191
  6. Step 6: Final answer
    x = 16,511.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.