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Finding the Third Proportional to 3,261.52 and 7,134.33

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Solution

The third proportional to 3,261.52 and 7,134.33 is: 15,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.52 : 7,134.33 = 7,134.33 : x
  2. Step 2: Convert to fraction form
    3,261.52/7,134.33 = 7,134.33/x
  3. Step 3: Cross multiply
    3,261.52x = 7,134.33 × 7,134.33
  4. Step 4: Simplify right side
    3,261.52x = 50,898,637.80
  5. Step 5: Solve for x
    x = 50,898,637.80/3,261.52
  6. Step 6: Final answer
    x = 15,605.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.