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Finding the Third Proportional to 6,672.38 and 9,664.31

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Solution

The third proportional to 6,672.38 and 9,664.31 is: 13,997.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,672.38 : 9,664.31 = 9,664.31 : x
  2. Step 2: Convert to fraction form
    6,672.38/9,664.31 = 9,664.31/x
  3. Step 3: Cross multiply
    6,672.38x = 9,664.31 × 9,664.31
  4. Step 4: Simplify right side
    6,672.38x = 93,398,936.10
  5. Step 5: Solve for x
    x = 93,398,936.10/6,672.38
  6. Step 6: Final answer
    x = 13,997.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.