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Finding the Third Proportional to 131,811 and 204,270.75

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Solution

The third proportional to 131,811 and 204,270.75 is: 316,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,811 : 204,270.75 = 204,270.75 : x
  2. Step 2: Convert to fraction form
    131,811/204,270.75 = 204,270.75/x
  3. Step 3: Cross multiply
    131,811x = 204,270.75 × 204,270.75
  4. Step 4: Simplify right side
    131,811x = 41,726,539,305.56
  5. Step 5: Solve for x
    x = 41,726,539,305.56/131,811
  6. Step 6: Final answer
    x = 316,563.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.