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Finding the Third Proportional to 128,095 and 204,634

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Solution

The third proportional to 128,095 and 204,634 is: 326,906.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,095 : 204,634 = 204,634 : x
  2. Step 2: Convert to fraction form
    128,095/204,634 = 204,634/x
  3. Step 3: Cross multiply
    128,095x = 204,634 × 204,634
  4. Step 4: Simplify right side
    128,095x = 41,875,073,956
  5. Step 5: Solve for x
    x = 41,875,073,956/128,095
  6. Step 6: Final answer
    x = 326,906.39

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.