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Finding the Third Proportional to 3,301.25 and 7,122.25

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Solution

The third proportional to 3,301.25 and 7,122.25 is: 15,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.25 : 7,122.25 = 7,122.25 : x
  2. Step 2: Convert to fraction form
    3,301.25/7,122.25 = 7,122.25/x
  3. Step 3: Cross multiply
    3,301.25x = 7,122.25 × 7,122.25
  4. Step 4: Simplify right side
    3,301.25x = 50,726,445.06
  5. Step 5: Solve for x
    x = 50,726,445.06/3,301.25
  6. Step 6: Final answer
    x = 15,365.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.