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Finding the Third Proportional to 57,868 and 87,422

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Solution

The third proportional to 57,868 and 87,422 is: 132,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,868 : 87,422 = 87,422 : x
  2. Step 2: Convert to fraction form
    57,868/87,422 = 87,422/x
  3. Step 3: Cross multiply
    57,868x = 87,422 × 87,422
  4. Step 4: Simplify right side
    57,868x = 7,642,606,084
  5. Step 5: Solve for x
    x = 7,642,606,084/57,868
  6. Step 6: Final answer
    x = 132,069.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.