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Finding the Third Proportional to 3,133.50 and 7,101.75

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Solution

The third proportional to 3,133.50 and 7,101.75 is: 16,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.50 : 7,101.75 = 7,101.75 : x
  2. Step 2: Convert to fraction form
    3,133.50/7,101.75 = 7,101.75/x
  3. Step 3: Cross multiply
    3,133.50x = 7,101.75 × 7,101.75
  4. Step 4: Simplify right side
    3,133.50x = 50,434,853.06
  5. Step 5: Solve for x
    x = 50,434,853.06/3,133.50
  6. Step 6: Final answer
    x = 16,095.37

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.