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Finding the Third Proportional to 131,186.25 and 206,239.50

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Solution

The third proportional to 131,186.25 and 206,239.50 is: 324,231.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,186.25 : 206,239.50 = 206,239.50 : x
  2. Step 2: Convert to fraction form
    131,186.25/206,239.50 = 206,239.50/x
  3. Step 3: Cross multiply
    131,186.25x = 206,239.50 × 206,239.50
  4. Step 4: Simplify right side
    131,186.25x = 42,534,731,360.25
  5. Step 5: Solve for x
    x = 42,534,731,360.25/131,186.25
  6. Step 6: Final answer
    x = 324,231.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.