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Finding the Third Proportional to 3,073.50 and 7,476.75

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Solution

The third proportional to 3,073.50 and 7,476.75 is: 18,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.50 : 7,476.75 = 7,476.75 : x
  2. Step 2: Convert to fraction form
    3,073.50/7,476.75 = 7,476.75/x
  3. Step 3: Cross multiply
    3,073.50x = 7,476.75 × 7,476.75
  4. Step 4: Simplify right side
    3,073.50x = 55,901,790.56
  5. Step 5: Solve for x
    x = 55,901,790.56/3,073.50
  6. Step 6: Final answer
    x = 18,188.32

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.