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Finding the Third Proportional to 81,357 and 171,462

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Solution

The third proportional to 81,357 and 171,462 is: 361,360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,357 : 171,462 = 171,462 : x
  2. Step 2: Convert to fraction form
    81,357/171,462 = 171,462/x
  3. Step 3: Cross multiply
    81,357x = 171,462 × 171,462
  4. Step 4: Simplify right side
    81,357x = 29,399,217,444
  5. Step 5: Solve for x
    x = 29,399,217,444/81,357
  6. Step 6: Final answer
    x = 361,360.64

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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.