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Finding the Third Proportional to 131,226 and 203,583

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Solution

The third proportional to 131,226 and 203,583 is: 315,837.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,226 : 203,583 = 203,583 : x
  2. Step 2: Convert to fraction form
    131,226/203,583 = 203,583/x
  3. Step 3: Cross multiply
    131,226x = 203,583 × 203,583
  4. Step 4: Simplify right side
    131,226x = 41,446,037,889
  5. Step 5: Solve for x
    x = 41,446,037,889/131,226
  6. Step 6: Final answer
    x = 315,837.09

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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.