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Finding the Third Proportional to 7,138.13 and 7,786.13

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Solution

The third proportional to 7,138.13 and 7,786.13 is: 8,492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.13 : 7,786.13 = 7,786.13 : x
  2. Step 2: Convert to fraction form
    7,138.13/7,786.13 = 7,786.13/x
  3. Step 3: Cross multiply
    7,138.13x = 7,786.13 × 7,786.13
  4. Step 4: Simplify right side
    7,138.13x = 60,623,742.52
  5. Step 5: Solve for x
    x = 60,623,742.52/7,138.13
  6. Step 6: Final answer
    x = 8,492.95

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.