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Finding the Third Proportional to 6,809 and 7,295

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Solution

The third proportional to 6,809 and 7,295 is: 7,815.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809 : 7,295 = 7,295 : x
  2. Step 2: Convert to fraction form
    6,809/7,295 = 7,295/x
  3. Step 3: Cross multiply
    6,809x = 7,295 × 7,295
  4. Step 4: Simplify right side
    6,809x = 53,217,025
  5. Step 5: Solve for x
    x = 53,217,025/6,809
  6. Step 6: Final answer
    x = 7,815.69

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.