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Finding the Third Proportional to 57,378 and 87,282

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Solution

The third proportional to 57,378 and 87,282 is: 132,771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,378 : 87,282 = 87,282 : x
  2. Step 2: Convert to fraction form
    57,378/87,282 = 87,282/x
  3. Step 3: Cross multiply
    57,378x = 87,282 × 87,282
  4. Step 4: Simplify right side
    57,378x = 7,618,147,524
  5. Step 5: Solve for x
    x = 7,618,147,524/57,378
  6. Step 6: Final answer
    x = 132,771.23

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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.