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Finding the Third Proportional to 20,436 and 32,115

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Solution

The third proportional to 20,436 and 32,115 is: 50,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,436 : 32,115 = 32,115 : x
  2. Step 2: Convert to fraction form
    20,436/32,115 = 32,115/x
  3. Step 3: Cross multiply
    20,436x = 32,115 × 32,115
  4. Step 4: Simplify right side
    20,436x = 1,031,373,225
  5. Step 5: Solve for x
    x = 1,031,373,225/20,436
  6. Step 6: Final answer
    x = 50,468.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.