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Finding the Third Proportional to 131,249 and 203,624

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Solution

The third proportional to 131,249 and 203,624 is: 315,908.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,249 : 203,624 = 203,624 : x
  2. Step 2: Convert to fraction form
    131,249/203,624 = 203,624/x
  3. Step 3: Cross multiply
    131,249x = 203,624 × 203,624
  4. Step 4: Simplify right side
    131,249x = 41,462,733,376
  5. Step 5: Solve for x
    x = 41,462,733,376/131,249
  6. Step 6: Final answer
    x = 315,908.95

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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.