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Finding the Third Proportional to 5,178.94 and 7,997.91

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Solution

The third proportional to 5,178.94 and 7,997.91 is: 12,351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.94 : 7,997.91 = 7,997.91 : x
  2. Step 2: Convert to fraction form
    5,178.94/7,997.91 = 7,997.91/x
  3. Step 3: Cross multiply
    5,178.94x = 7,997.91 × 7,997.91
  4. Step 4: Simplify right side
    5,178.94x = 63,966,504.38
  5. Step 5: Solve for x
    x = 63,966,504.38/5,178.94
  6. Step 6: Final answer
    x = 12,351.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.