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Finding the Third Proportional to 81,660 and 128,322

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Solution

The third proportional to 81,660 and 128,322 is: 201,647.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,660 : 128,322 = 128,322 : x
  2. Step 2: Convert to fraction form
    81,660/128,322 = 128,322/x
  3. Step 3: Cross multiply
    81,660x = 128,322 × 128,322
  4. Step 4: Simplify right side
    81,660x = 16,466,535,684
  5. Step 5: Solve for x
    x = 16,466,535,684/81,660
  6. Step 6: Final answer
    x = 201,647.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.