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Finding the Third Proportional to 20,910 and 32,411

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Solution

The third proportional to 20,910 and 32,411 is: 50,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,910 : 32,411 = 32,411 : x
  2. Step 2: Convert to fraction form
    20,910/32,411 = 32,411/x
  3. Step 3: Cross multiply
    20,910x = 32,411 × 32,411
  4. Step 4: Simplify right side
    20,910x = 1,050,472,921
  5. Step 5: Solve for x
    x = 1,050,472,921/20,910
  6. Step 6: Final answer
    x = 50,237.83

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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.