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Finding the Third Proportional to 131,523.75 and 285,180.75

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Solution

The third proportional to 131,523.75 and 285,180.75 is: 618,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,523.75 : 285,180.75 = 285,180.75 : x
  2. Step 2: Convert to fraction form
    131,523.75/285,180.75 = 285,180.75/x
  3. Step 3: Cross multiply
    131,523.75x = 285,180.75 × 285,180.75
  4. Step 4: Simplify right side
    131,523.75x = 81,328,060,170.56
  5. Step 5: Solve for x
    x = 81,328,060,170.56/131,523.75
  6. Step 6: Final answer
    x = 618,352.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.