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Finding the Third Proportional to 57,197 and 86,216

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Solution

The third proportional to 57,197 and 86,216 is: 129,957.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,197 : 86,216 = 86,216 : x
  2. Step 2: Convert to fraction form
    57,197/86,216 = 86,216/x
  3. Step 3: Cross multiply
    57,197x = 86,216 × 86,216
  4. Step 4: Simplify right side
    57,197x = 7,433,198,656
  5. Step 5: Solve for x
    x = 7,433,198,656/57,197
  6. Step 6: Final answer
    x = 129,957.84

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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.