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Finding the Third Proportional to 10,589 and 20,912.50

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Solution

The third proportional to 10,589 and 20,912.50 is: 41,300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589 : 20,912.50 = 20,912.50 : x
  2. Step 2: Convert to fraction form
    10,589/20,912.50 = 20,912.50/x
  3. Step 3: Cross multiply
    10,589x = 20,912.50 × 20,912.50
  4. Step 4: Simplify right side
    10,589x = 437,332,656.25
  5. Step 5: Solve for x
    x = 437,332,656.25/10,589
  6. Step 6: Final answer
    x = 41,300.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.