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Finding the Third Proportional to 128,823 and 204,431

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Solution

The third proportional to 128,823 and 204,431 is: 324,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,823 : 204,431 = 204,431 : x
  2. Step 2: Convert to fraction form
    128,823/204,431 = 204,431/x
  3. Step 3: Cross multiply
    128,823x = 204,431 × 204,431
  4. Step 4: Simplify right side
    128,823x = 41,792,033,761
  5. Step 5: Solve for x
    x = 41,792,033,761/128,823
  6. Step 6: Final answer
    x = 324,414.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.