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Finding the Third Proportional to 3,861.42 and 6,490.76

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Solution

The third proportional to 3,861.42 and 6,490.76 is: 10,910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.42 : 6,490.76 = 6,490.76 : x
  2. Step 2: Convert to fraction form
    3,861.42/6,490.76 = 6,490.76/x
  3. Step 3: Cross multiply
    3,861.42x = 6,490.76 × 6,490.76
  4. Step 4: Simplify right side
    3,861.42x = 42,129,936.98
  5. Step 5: Solve for x
    x = 42,129,936.98/3,861.42
  6. Step 6: Final answer
    x = 10,910.47

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.