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Finding the Third Proportional to 128,529 and 268,695

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Solution

The third proportional to 128,529 and 268,695 is: 561,717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,529 : 268,695 = 268,695 : x
  2. Step 2: Convert to fraction form
    128,529/268,695 = 268,695/x
  3. Step 3: Cross multiply
    128,529x = 268,695 × 268,695
  4. Step 4: Simplify right side
    128,529x = 72,197,003,025
  5. Step 5: Solve for x
    x = 72,197,003,025/128,529
  6. Step 6: Final answer
    x = 561,717.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.