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Finding the Third Proportional to 86,351 and 133,218

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Solution

The third proportional to 86,351 and 133,218 is: 205,522.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,351 : 133,218 = 133,218 : x
  2. Step 2: Convert to fraction form
    86,351/133,218 = 133,218/x
  3. Step 3: Cross multiply
    86,351x = 133,218 × 133,218
  4. Step 4: Simplify right side
    86,351x = 17,747,035,524
  5. Step 5: Solve for x
    x = 17,747,035,524/86,351
  6. Step 6: Final answer
    x = 205,522.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.