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Finding the Third Proportional to 3,174.56 and 6,878.81

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Solution

The third proportional to 3,174.56 and 6,878.81 is: 14,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.56 : 6,878.81 = 6,878.81 : x
  2. Step 2: Convert to fraction form
    3,174.56/6,878.81 = 6,878.81/x
  3. Step 3: Cross multiply
    3,174.56x = 6,878.81 × 6,878.81
  4. Step 4: Simplify right side
    3,174.56x = 47,318,061.41
  5. Step 5: Solve for x
    x = 47,318,061.41/3,174.56
  6. Step 6: Final answer
    x = 14,905.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.