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Finding the Third Proportional to 3,231.38 and 6,978.38

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Solution

The third proportional to 3,231.38 and 6,978.38 is: 15,070.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.38 : 6,978.38 = 6,978.38 : x
  2. Step 2: Convert to fraction form
    3,231.38/6,978.38 = 6,978.38/x
  3. Step 3: Cross multiply
    3,231.38x = 6,978.38 × 6,978.38
  4. Step 4: Simplify right side
    3,231.38x = 48,697,717.64
  5. Step 5: Solve for x
    x = 48,697,717.64/3,231.38
  6. Step 6: Final answer
    x = 15,070.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.