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Finding the Third Proportional to 81,785 and 175,393

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Solution

The third proportional to 81,785 and 175,393 is: 376,141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,785 : 175,393 = 175,393 : x
  2. Step 2: Convert to fraction form
    81,785/175,393 = 175,393/x
  3. Step 3: Cross multiply
    81,785x = 175,393 × 175,393
  4. Step 4: Simplify right side
    81,785x = 30,762,704,449
  5. Step 5: Solve for x
    x = 30,762,704,449/81,785
  6. Step 6: Final answer
    x = 376,141.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.