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Finding the Third Proportional to 20,221 and 31,175

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Solution

The third proportional to 20,221 and 31,175 is: 48,062.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221 : 31,175 = 31,175 : x
  2. Step 2: Convert to fraction form
    20,221/31,175 = 31,175/x
  3. Step 3: Cross multiply
    20,221x = 31,175 × 31,175
  4. Step 4: Simplify right side
    20,221x = 971,880,625
  5. Step 5: Solve for x
    x = 971,880,625/20,221
  6. Step 6: Final answer
    x = 48,062.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.