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Finding the Third Proportional to 6,929 and 8,135

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Solution

The third proportional to 6,929 and 8,135 is: 9,550.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929 : 8,135 = 8,135 : x
  2. Step 2: Convert to fraction form
    6,929/8,135 = 8,135/x
  3. Step 3: Cross multiply
    6,929x = 8,135 × 8,135
  4. Step 4: Simplify right side
    6,929x = 66,178,225
  5. Step 5: Solve for x
    x = 66,178,225/6,929
  6. Step 6: Final answer
    x = 9,550.91

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.