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Finding the Third Proportional to 20,150 and 41,312

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Solution

The third proportional to 20,150 and 41,312 is: 84,698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,150 : 41,312 = 41,312 : x
  2. Step 2: Convert to fraction form
    20,150/41,312 = 41,312/x
  3. Step 3: Cross multiply
    20,150x = 41,312 × 41,312
  4. Step 4: Simplify right side
    20,150x = 1,706,681,344
  5. Step 5: Solve for x
    x = 1,706,681,344/20,150
  6. Step 6: Final answer
    x = 84,698.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.