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Finding the Third Proportional to 161,711 and 231,563

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Solution

The third proportional to 161,711 and 231,563 is: 331,587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,711 : 231,563 = 231,563 : x
  2. Step 2: Convert to fraction form
    161,711/231,563 = 231,563/x
  3. Step 3: Cross multiply
    161,711x = 231,563 × 231,563
  4. Step 4: Simplify right side
    161,711x = 53,621,422,969
  5. Step 5: Solve for x
    x = 53,621,422,969/161,711
  6. Step 6: Final answer
    x = 331,587.97

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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.