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Finding the Third Proportional to 85,322 and 132,815

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Solution

The third proportional to 85,322 and 132,815 is: 206,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,322 : 132,815 = 132,815 : x
  2. Step 2: Convert to fraction form
    85,322/132,815 = 132,815/x
  3. Step 3: Cross multiply
    85,322x = 132,815 × 132,815
  4. Step 4: Simplify right side
    85,322x = 17,639,824,225
  5. Step 5: Solve for x
    x = 17,639,824,225/85,322
  6. Step 6: Final answer
    x = 206,744.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.