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Finding the Third Proportional to 6,327.49 and 9,439.98

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Solution

The third proportional to 6,327.49 and 9,439.98 is: 14,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.49 : 9,439.98 = 9,439.98 : x
  2. Step 2: Convert to fraction form
    6,327.49/9,439.98 = 9,439.98/x
  3. Step 3: Cross multiply
    6,327.49x = 9,439.98 × 9,439.98
  4. Step 4: Simplify right side
    6,327.49x = 89,113,231.25
  5. Step 5: Solve for x
    x = 89,113,231.25/6,327.49
  6. Step 6: Final answer
    x = 14,083.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.