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Finding the Third Proportional to 7,086 and 11,520

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Solution

The third proportional to 7,086 and 11,520 is: 18,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086 : 11,520 = 11,520 : x
  2. Step 2: Convert to fraction form
    7,086/11,520 = 11,520/x
  3. Step 3: Cross multiply
    7,086x = 11,520 × 11,520
  4. Step 4: Simplify right side
    7,086x = 132,710,400
  5. Step 5: Solve for x
    x = 132,710,400/7,086
  6. Step 6: Final answer
    x = 18,728.54

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.