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Finding the Third Proportional to 87,372 and 126,819

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Solution

The third proportional to 87,372 and 126,819 is: 184,075.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,372 : 126,819 = 126,819 : x
  2. Step 2: Convert to fraction form
    87,372/126,819 = 126,819/x
  3. Step 3: Cross multiply
    87,372x = 126,819 × 126,819
  4. Step 4: Simplify right side
    87,372x = 16,083,058,761
  5. Step 5: Solve for x
    x = 16,083,058,761/87,372
  6. Step 6: Final answer
    x = 184,075.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.