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Finding the Third Proportional to 131,245 and 203,609

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Solution

The third proportional to 131,245 and 203,609 is: 315,872.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,245 : 203,609 = 203,609 : x
  2. Step 2: Convert to fraction form
    131,245/203,609 = 203,609/x
  3. Step 3: Cross multiply
    131,245x = 203,609 × 203,609
  4. Step 4: Simplify right side
    131,245x = 41,456,624,881
  5. Step 5: Solve for x
    x = 41,456,624,881/131,245
  6. Step 6: Final answer
    x = 315,872.03

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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.