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Finding the Third Proportional to 3,153.50 and 6,720.25

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Solution

The third proportional to 3,153.50 and 6,720.25 is: 14,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.50 : 6,720.25 = 6,720.25 : x
  2. Step 2: Convert to fraction form
    3,153.50/6,720.25 = 6,720.25/x
  3. Step 3: Cross multiply
    3,153.50x = 6,720.25 × 6,720.25
  4. Step 4: Simplify right side
    3,153.50x = 45,161,760.06
  5. Step 5: Solve for x
    x = 45,161,760.06/3,153.50
  6. Step 6: Final answer
    x = 14,321.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.