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Finding the Third Proportional to 87,421 and 132,175

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Solution

The third proportional to 87,421 and 132,175 is: 199,840.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,421 : 132,175 = 132,175 : x
  2. Step 2: Convert to fraction form
    87,421/132,175 = 132,175/x
  3. Step 3: Cross multiply
    87,421x = 132,175 × 132,175
  4. Step 4: Simplify right side
    87,421x = 17,470,230,625
  5. Step 5: Solve for x
    x = 17,470,230,625/87,421
  6. Step 6: Final answer
    x = 199,840.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.