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Finding the Third Proportional to 86,268 and 133,908

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Solution

The third proportional to 86,268 and 133,908 is: 207,856.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,268 : 133,908 = 133,908 : x
  2. Step 2: Convert to fraction form
    86,268/133,908 = 133,908/x
  3. Step 3: Cross multiply
    86,268x = 133,908 × 133,908
  4. Step 4: Simplify right side
    86,268x = 17,931,352,464
  5. Step 5: Solve for x
    x = 17,931,352,464/86,268
  6. Step 6: Final answer
    x = 207,856.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.