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Finding the Third Proportional to 57,381 and 87,285

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Solution

The third proportional to 57,381 and 87,285 is: 132,773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,381 : 87,285 = 87,285 : x
  2. Step 2: Convert to fraction form
    57,381/87,285 = 87,285/x
  3. Step 3: Cross multiply
    57,381x = 87,285 × 87,285
  4. Step 4: Simplify right side
    57,381x = 7,618,671,225
  5. Step 5: Solve for x
    x = 7,618,671,225/57,381
  6. Step 6: Final answer
    x = 132,773.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.