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Finding the Third Proportional to 161,721 and 231,571

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Solution

The third proportional to 161,721 and 231,571 is: 331,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,721 : 231,571 = 231,571 : x
  2. Step 2: Convert to fraction form
    161,721/231,571 = 231,571/x
  3. Step 3: Cross multiply
    161,721x = 231,571 × 231,571
  4. Step 4: Simplify right side
    161,721x = 53,625,128,041
  5. Step 5: Solve for x
    x = 53,625,128,041/161,721
  6. Step 6: Final answer
    x = 331,590.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.