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Finding the Third Proportional to 4,242 and 6,816

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Solution

The third proportional to 4,242 and 6,816 is: 10,951.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242 : 6,816 = 6,816 : x
  2. Step 2: Convert to fraction form
    4,242/6,816 = 6,816/x
  3. Step 3: Cross multiply
    4,242x = 6,816 × 6,816
  4. Step 4: Simplify right side
    4,242x = 46,457,856
  5. Step 5: Solve for x
    x = 46,457,856/4,242
  6. Step 6: Final answer
    x = 10,951.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.