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Finding the Third Proportional to 83,286 and 132,462

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Solution

The third proportional to 83,286 and 132,462 is: 210,673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,286 : 132,462 = 132,462 : x
  2. Step 2: Convert to fraction form
    83,286/132,462 = 132,462/x
  3. Step 3: Cross multiply
    83,286x = 132,462 × 132,462
  4. Step 4: Simplify right side
    83,286x = 17,546,181,444
  5. Step 5: Solve for x
    x = 17,546,181,444/83,286
  6. Step 6: Final answer
    x = 210,673.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.