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Finding the Third Proportional to 6,616.69 and 6,821.72

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Solution

The third proportional to 6,616.69 and 6,821.72 is: 7,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.69 : 6,821.72 = 6,821.72 : x
  2. Step 2: Convert to fraction form
    6,616.69/6,821.72 = 6,821.72/x
  3. Step 3: Cross multiply
    6,616.69x = 6,821.72 × 6,821.72
  4. Step 4: Simplify right side
    6,616.69x = 46,535,846.70
  5. Step 5: Solve for x
    x = 46,535,846.70/6,616.69
  6. Step 6: Final answer
    x = 7,033.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.