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Finding the Third Proportional to 82,932 and 128,622

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Solution

The third proportional to 82,932 and 128,622 is: 199,484.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,932 : 128,622 = 128,622 : x
  2. Step 2: Convert to fraction form
    82,932/128,622 = 128,622/x
  3. Step 3: Cross multiply
    82,932x = 128,622 × 128,622
  4. Step 4: Simplify right side
    82,932x = 16,543,618,884
  5. Step 5: Solve for x
    x = 16,543,618,884/82,932
  6. Step 6: Final answer
    x = 199,484.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.