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Finding the Third Proportional to 87,178.50 and 134,709.75

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Solution

The third proportional to 87,178.50 and 134,709.75 is: 208,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,178.50 : 134,709.75 = 134,709.75 : x
  2. Step 2: Convert to fraction form
    87,178.50/134,709.75 = 134,709.75/x
  3. Step 3: Cross multiply
    87,178.50x = 134,709.75 × 134,709.75
  4. Step 4: Simplify right side
    87,178.50x = 18,146,716,745.06
  5. Step 5: Solve for x
    x = 18,146,716,745.06/87,178.50
  6. Step 6: Final answer
    x = 208,155.87

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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.