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Finding the Third Proportional to 10,591 and 20,915

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Solution

The third proportional to 10,591 and 20,915 is: 41,302.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591 : 20,915 = 20,915 : x
  2. Step 2: Convert to fraction form
    10,591/20,915 = 20,915/x
  3. Step 3: Cross multiply
    10,591x = 20,915 × 20,915
  4. Step 4: Simplify right side
    10,591x = 437,437,225
  5. Step 5: Solve for x
    x = 437,437,225/10,591
  6. Step 6: Final answer
    x = 41,302.73

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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.