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Finding the Third Proportional to 3,331.13 and 5,019.47

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Solution

The third proportional to 3,331.13 and 5,019.47 is: 7,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,331.13 : 5,019.47 = 5,019.47 : x
  2. Step 2: Convert to fraction form
    3,331.13/5,019.47 = 5,019.47/x
  3. Step 3: Cross multiply
    3,331.13x = 5,019.47 × 5,019.47
  4. Step 4: Simplify right side
    3,331.13x = 25,195,066.53
  5. Step 5: Solve for x
    x = 25,195,066.53/3,331.13
  6. Step 6: Final answer
    x = 7,563.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.