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Finding the Third Proportional to 131,249 and 203,615

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Solution

The third proportional to 131,249 and 203,615 is: 315,881.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,249 : 203,615 = 203,615 : x
  2. Step 2: Convert to fraction form
    131,249/203,615 = 203,615/x
  3. Step 3: Cross multiply
    131,249x = 203,615 × 203,615
  4. Step 4: Simplify right side
    131,249x = 41,459,068,225
  5. Step 5: Solve for x
    x = 41,459,068,225/131,249
  6. Step 6: Final answer
    x = 315,881.02

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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.