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Finding the Third Proportional to 6,815.81 and 7,440.19

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Solution

The third proportional to 6,815.81 and 7,440.19 is: 8,121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.81 : 7,440.19 = 7,440.19 : x
  2. Step 2: Convert to fraction form
    6,815.81/7,440.19 = 7,440.19/x
  3. Step 3: Cross multiply
    6,815.81x = 7,440.19 × 7,440.19
  4. Step 4: Simplify right side
    6,815.81x = 55,356,390.04
  5. Step 5: Solve for x
    x = 55,356,390.04/6,815.81
  6. Step 6: Final answer
    x = 8,121.76

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1.5x scale

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.