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Finding the Third Proportional to 20,002.50 and 30,057.75

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Solution

The third proportional to 20,002.50 and 30,057.75 is: 45,167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002.50 : 30,057.75 = 30,057.75 : x
  2. Step 2: Convert to fraction form
    20,002.50/30,057.75 = 30,057.75/x
  3. Step 3: Cross multiply
    20,002.50x = 30,057.75 × 30,057.75
  4. Step 4: Simplify right side
    20,002.50x = 903,468,335.06
  5. Step 5: Solve for x
    x = 903,468,335.06/20,002.50
  6. Step 6: Final answer
    x = 45,167.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.