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Finding the Third Proportional to 87,270 and 133,443

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Solution

The third proportional to 87,270 and 133,443 is: 204,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,270 : 133,443 = 133,443 : x
  2. Step 2: Convert to fraction form
    87,270/133,443 = 133,443/x
  3. Step 3: Cross multiply
    87,270x = 133,443 × 133,443
  4. Step 4: Simplify right side
    87,270x = 17,807,034,249
  5. Step 5: Solve for x
    x = 17,807,034,249/87,270
  6. Step 6: Final answer
    x = 204,045.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.