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Finding the Third Proportional to 90,769.50 and 136,485

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Solution

The third proportional to 90,769.50 and 136,485 is: 205,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,769.50 : 136,485 = 136,485 : x
  2. Step 2: Convert to fraction form
    90,769.50/136,485 = 136,485/x
  3. Step 3: Cross multiply
    90,769.50x = 136,485 × 136,485
  4. Step 4: Simplify right side
    90,769.50x = 18,628,155,225
  5. Step 5: Solve for x
    x = 18,628,155,225/90,769.50
  6. Step 6: Final answer
    x = 205,224.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.