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Finding the Third Proportional to 128,776 and 204,908

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Solution

The third proportional to 128,776 and 204,908 is: 326,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,776 : 204,908 = 204,908 : x
  2. Step 2: Convert to fraction form
    128,776/204,908 = 204,908/x
  3. Step 3: Cross multiply
    128,776x = 204,908 × 204,908
  4. Step 4: Simplify right side
    128,776x = 41,987,288,464
  5. Step 5: Solve for x
    x = 41,987,288,464/128,776
  6. Step 6: Final answer
    x = 326,049.02

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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.