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Finding the Third Proportional to 131,239.50 and 203,600.25

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Solution

The third proportional to 131,239.50 and 203,600.25 is: 315,858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,239.50 : 203,600.25 = 203,600.25 : x
  2. Step 2: Convert to fraction form
    131,239.50/203,600.25 = 203,600.25/x
  3. Step 3: Cross multiply
    131,239.50x = 203,600.25 × 203,600.25
  4. Step 4: Simplify right side
    131,239.50x = 41,453,061,800.06
  5. Step 5: Solve for x
    x = 41,453,061,800.06/131,239.50
  6. Step 6: Final answer
    x = 315,858.12

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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.