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Finding the Third Proportional to 82,036 and 128,519

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Solution

The third proportional to 82,036 and 128,519 is: 201,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,036 : 128,519 = 128,519 : x
  2. Step 2: Convert to fraction form
    82,036/128,519 = 128,519/x
  3. Step 3: Cross multiply
    82,036x = 128,519 × 128,519
  4. Step 4: Simplify right side
    82,036x = 16,517,133,361
  5. Step 5: Solve for x
    x = 16,517,133,361/82,036
  6. Step 6: Final answer
    x = 201,340.06

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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.