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Finding the Third Proportional to 20,786 and 50,321

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Solution

The third proportional to 20,786 and 50,321 is: 121,822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,786 : 50,321 = 50,321 : x
  2. Step 2: Convert to fraction form
    20,786/50,321 = 50,321/x
  3. Step 3: Cross multiply
    20,786x = 50,321 × 50,321
  4. Step 4: Simplify right side
    20,786x = 2,532,203,041
  5. Step 5: Solve for x
    x = 2,532,203,041/20,786
  6. Step 6: Final answer
    x = 121,822.53

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.