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Finding the Third Proportional to 128,876 and 204,510

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Solution

The third proportional to 128,876 and 204,510 is: 324,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,876 : 204,510 = 204,510 : x
  2. Step 2: Convert to fraction form
    128,876/204,510 = 204,510/x
  3. Step 3: Cross multiply
    128,876x = 204,510 × 204,510
  4. Step 4: Simplify right side
    128,876x = 41,824,340,100
  5. Step 5: Solve for x
    x = 41,824,340,100/128,876
  6. Step 6: Final answer
    x = 324,531.64

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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.