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Finding the Third Proportional to 87,378 and 131,791

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Solution

The third proportional to 87,378 and 131,791 is: 198,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,378 : 131,791 = 131,791 : x
  2. Step 2: Convert to fraction form
    87,378/131,791 = 131,791/x
  3. Step 3: Cross multiply
    87,378x = 131,791 × 131,791
  4. Step 4: Simplify right side
    87,378x = 17,368,867,681
  5. Step 5: Solve for x
    x = 17,368,867,681/87,378
  6. Step 6: Final answer
    x = 198,778.50

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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.