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Finding the Third Proportional to 87,670.50 and 191,742.75

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Solution

The third proportional to 87,670.50 and 191,742.75 is: 419,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,670.50 : 191,742.75 = 191,742.75 : x
  2. Step 2: Convert to fraction form
    87,670.50/191,742.75 = 191,742.75/x
  3. Step 3: Cross multiply
    87,670.50x = 191,742.75 × 191,742.75
  4. Step 4: Simplify right side
    87,670.50x = 36,765,282,177.56
  5. Step 5: Solve for x
    x = 36,765,282,177.56/87,670.50
  6. Step 6: Final answer
    x = 419,357.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.