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Finding the Third Proportional to 6,439.50 and 9,674.44

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Solution

The third proportional to 6,439.50 and 9,674.44 is: 14,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.50 : 9,674.44 = 9,674.44 : x
  2. Step 2: Convert to fraction form
    6,439.50/9,674.44 = 9,674.44/x
  3. Step 3: Cross multiply
    6,439.50x = 9,674.44 × 9,674.44
  4. Step 4: Simplify right side
    6,439.50x = 93,594,740.94
  5. Step 5: Solve for x
    x = 93,594,740.94/6,439.50
  6. Step 6: Final answer
    x = 14,534.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.