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Finding the Third Proportional to 57,200 and 86,966

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Solution

The third proportional to 57,200 and 86,966 is: 132,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,200 : 86,966 = 86,966 : x
  2. Step 2: Convert to fraction form
    57,200/86,966 = 86,966/x
  3. Step 3: Cross multiply
    57,200x = 86,966 × 86,966
  4. Step 4: Simplify right side
    57,200x = 7,563,085,156
  5. Step 5: Solve for x
    x = 7,563,085,156/57,200
  6. Step 6: Final answer
    x = 132,221.77

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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.