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Finding the Third Proportional to 128,450 and 204,566

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Solution

The third proportional to 128,450 and 204,566 is: 325,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,450 : 204,566 = 204,566 : x
  2. Step 2: Convert to fraction form
    128,450/204,566 = 204,566/x
  3. Step 3: Cross multiply
    128,450x = 204,566 × 204,566
  4. Step 4: Simplify right side
    128,450x = 41,847,248,356
  5. Step 5: Solve for x
    x = 41,847,248,356/128,450
  6. Step 6: Final answer
    x = 325,786.29

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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.