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Finding the Third Proportional to 81,533 and 171,931

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Solution

The third proportional to 81,533 and 171,931 is: 362,555.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,533 : 171,931 = 171,931 : x
  2. Step 2: Convert to fraction form
    81,533/171,931 = 171,931/x
  3. Step 3: Cross multiply
    81,533x = 171,931 × 171,931
  4. Step 4: Simplify right side
    81,533x = 29,560,268,761
  5. Step 5: Solve for x
    x = 29,560,268,761/81,533
  6. Step 6: Final answer
    x = 362,555.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.