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Finding the Third Proportional to 5,440.50 and 12,720.38

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Solution

The third proportional to 5,440.50 and 12,720.38 is: 29,741.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,440.50 : 12,720.38 = 12,720.38 : x
  2. Step 2: Convert to fraction form
    5,440.50/12,720.38 = 12,720.38/x
  3. Step 3: Cross multiply
    5,440.50x = 12,720.38 × 12,720.38
  4. Step 4: Simplify right side
    5,440.50x = 161,807,940.14
  5. Step 5: Solve for x
    x = 161,807,940.14/5,440.50
  6. Step 6: Final answer
    x = 29,741.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.