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Finding the Third Proportional to 7,981.03 and 11,186.86

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Solution

The third proportional to 7,981.03 and 11,186.86 is: 15,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.03 : 11,186.86 = 11,186.86 : x
  2. Step 2: Convert to fraction form
    7,981.03/11,186.86 = 11,186.86/x
  3. Step 3: Cross multiply
    7,981.03x = 11,186.86 × 11,186.86
  4. Step 4: Simplify right side
    7,981.03x = 125,145,822.68
  5. Step 5: Solve for x
    x = 125,145,822.68/7,981.03
  6. Step 6: Final answer
    x = 15,680.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.