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Finding the Third Proportional to 57,351.50 and 87,485

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Solution

The third proportional to 57,351.50 and 87,485 is: 133,451.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,351.50 : 87,485 = 87,485 : x
  2. Step 2: Convert to fraction form
    57,351.50/87,485 = 87,485/x
  3. Step 3: Cross multiply
    57,351.50x = 87,485 × 87,485
  4. Step 4: Simplify right side
    57,351.50x = 7,653,625,225
  5. Step 5: Solve for x
    x = 7,653,625,225/57,351.50
  6. Step 6: Final answer
    x = 133,451.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.