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Finding the Third Proportional to 87,384 and 187,221

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Solution

The third proportional to 87,384 and 187,221 is: 401,122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,384 : 187,221 = 187,221 : x
  2. Step 2: Convert to fraction form
    87,384/187,221 = 187,221/x
  3. Step 3: Cross multiply
    87,384x = 187,221 × 187,221
  4. Step 4: Simplify right side
    87,384x = 35,051,702,841
  5. Step 5: Solve for x
    x = 35,051,702,841/87,384
  6. Step 6: Final answer
    x = 401,122.66

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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.