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Finding the Third Proportional to 3,278.60 and 6,997.64

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Solution

The third proportional to 3,278.60 and 6,997.64 is: 14,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.60 : 6,997.64 = 6,997.64 : x
  2. Step 2: Convert to fraction form
    3,278.60/6,997.64 = 6,997.64/x
  3. Step 3: Cross multiply
    3,278.60x = 6,997.64 × 6,997.64
  4. Step 4: Simplify right side
    3,278.60x = 48,966,974.32
  5. Step 5: Solve for x
    x = 48,966,974.32/3,278.60
  6. Step 6: Final answer
    x = 14,935.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.