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Finding the Third Proportional to 7,782 and 12,171

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Solution

The third proportional to 7,782 and 12,171 is: 19,035.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782 : 12,171 = 12,171 : x
  2. Step 2: Convert to fraction form
    7,782/12,171 = 12,171/x
  3. Step 3: Cross multiply
    7,782x = 12,171 × 12,171
  4. Step 4: Simplify right side
    7,782x = 148,133,241
  5. Step 5: Solve for x
    x = 148,133,241/7,782
  6. Step 6: Final answer
    x = 19,035.37

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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.