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Finding the Third Proportional to 20,738 and 32,115

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Solution

The third proportional to 20,738 and 32,115 is: 49,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,738 : 32,115 = 32,115 : x
  2. Step 2: Convert to fraction form
    20,738/32,115 = 32,115/x
  3. Step 3: Cross multiply
    20,738x = 32,115 × 32,115
  4. Step 4: Simplify right side
    20,738x = 1,031,373,225
  5. Step 5: Solve for x
    x = 1,031,373,225/20,738
  6. Step 6: Final answer
    x = 49,733.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.