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Finding the Third Proportional to 131,229.75 and 203,588.25

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Solution

The third proportional to 131,229.75 and 203,588.25 is: 315,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,229.75 : 203,588.25 = 203,588.25 : x
  2. Step 2: Convert to fraction form
    131,229.75/203,588.25 = 203,588.25/x
  3. Step 3: Cross multiply
    131,229.75x = 203,588.25 × 203,588.25
  4. Step 4: Simplify right side
    131,229.75x = 41,448,175,538.06
  5. Step 5: Solve for x
    x = 41,448,175,538.06/131,229.75
  6. Step 6: Final answer
    x = 315,844.35

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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.