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Finding the Third Proportional to 82,511 and 128,696

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Solution

The third proportional to 82,511 and 128,696 is: 200,732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,511 : 128,696 = 128,696 : x
  2. Step 2: Convert to fraction form
    82,511/128,696 = 128,696/x
  3. Step 3: Cross multiply
    82,511x = 128,696 × 128,696
  4. Step 4: Simplify right side
    82,511x = 16,562,660,416
  5. Step 5: Solve for x
    x = 16,562,660,416/82,511
  6. Step 6: Final answer
    x = 200,732.76

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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.