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Finding the Third Proportional to 87,144 and 190,278.75

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Solution

The third proportional to 87,144 and 190,278.75 is: 415,473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,144 : 190,278.75 = 190,278.75 : x
  2. Step 2: Convert to fraction form
    87,144/190,278.75 = 190,278.75/x
  3. Step 3: Cross multiply
    87,144x = 190,278.75 × 190,278.75
  4. Step 4: Simplify right side
    87,144x = 36,206,002,701.56
  5. Step 5: Solve for x
    x = 36,206,002,701.56/87,144
  6. Step 6: Final answer
    x = 415,473.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.