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Finding the Third Proportional to 7,833 and 12,147

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Solution

The third proportional to 7,833 and 12,147 is: 18,836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833 : 12,147 = 12,147 : x
  2. Step 2: Convert to fraction form
    7,833/12,147 = 12,147/x
  3. Step 3: Cross multiply
    7,833x = 12,147 × 12,147
  4. Step 4: Simplify right side
    7,833x = 147,549,609
  5. Step 5: Solve for x
    x = 147,549,609/7,833
  6. Step 6: Final answer
    x = 18,836.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.