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Finding the Third Proportional to 131,221 and 271,190

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Solution

The third proportional to 131,221 and 271,190 is: 560,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,221 : 271,190 = 271,190 : x
  2. Step 2: Convert to fraction form
    131,221/271,190 = 271,190/x
  3. Step 3: Cross multiply
    131,221x = 271,190 × 271,190
  4. Step 4: Simplify right side
    131,221x = 73,544,016,100
  5. Step 5: Solve for x
    x = 73,544,016,100/131,221
  6. Step 6: Final answer
    x = 560,459.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.