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Finding the Third Proportional to 131,548.50 and 192,408.75

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Solution

The third proportional to 131,548.50 and 192,408.75 is: 281,425.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,548.50 : 192,408.75 = 192,408.75 : x
  2. Step 2: Convert to fraction form
    131,548.50/192,408.75 = 192,408.75/x
  3. Step 3: Cross multiply
    131,548.50x = 192,408.75 × 192,408.75
  4. Step 4: Simplify right side
    131,548.50x = 37,021,127,076.56
  5. Step 5: Solve for x
    x = 37,021,127,076.56/131,548.50
  6. Step 6: Final answer
    x = 281,425.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.