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Finding the Third Proportional to 131,257.50 and 198,087

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Solution

The third proportional to 131,257.50 and 198,087 is: 298,942.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,257.50 : 198,087 = 198,087 : x
  2. Step 2: Convert to fraction form
    131,257.50/198,087 = 198,087/x
  3. Step 3: Cross multiply
    131,257.50x = 198,087 × 198,087
  4. Step 4: Simplify right side
    131,257.50x = 39,238,459,569
  5. Step 5: Solve for x
    x = 39,238,459,569/131,257.50
  6. Step 6: Final answer
    x = 298,942.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.