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Finding the Third Proportional to 6,857.16 and 9,636.47

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Solution

The third proportional to 6,857.16 and 9,636.47 is: 13,542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.16 : 9,636.47 = 9,636.47 : x
  2. Step 2: Convert to fraction form
    6,857.16/9,636.47 = 9,636.47/x
  3. Step 3: Cross multiply
    6,857.16x = 9,636.47 × 9,636.47
  4. Step 4: Simplify right side
    6,857.16x = 92,861,529.97
  5. Step 5: Solve for x
    x = 92,861,529.97/6,857.16
  6. Step 6: Final answer
    x = 13,542.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.