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Finding the Third Proportional to 20,560.50 and 30,759

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Solution

The third proportional to 20,560.50 and 30,759 is: 46,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,560.50 : 30,759 = 30,759 : x
  2. Step 2: Convert to fraction form
    20,560.50/30,759 = 30,759/x
  3. Step 3: Cross multiply
    20,560.50x = 30,759 × 30,759
  4. Step 4: Simplify right side
    20,560.50x = 946,116,081
  5. Step 5: Solve for x
    x = 946,116,081/20,560.50
  6. Step 6: Final answer
    x = 46,016.20

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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.