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Finding the Third Proportional to 87,357 and 187,172

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Solution

The third proportional to 87,357 and 187,172 is: 401,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,357 : 187,172 = 187,172 : x
  2. Step 2: Convert to fraction form
    87,357/187,172 = 187,172/x
  3. Step 3: Cross multiply
    87,357x = 187,172 × 187,172
  4. Step 4: Simplify right side
    87,357x = 35,033,357,584
  5. Step 5: Solve for x
    x = 35,033,357,584/87,357
  6. Step 6: Final answer
    x = 401,036.64

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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.