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Finding the Third Proportional to 128,724 and 204,734

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Solution

The third proportional to 128,724 and 204,734 is: 325,627.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,724 : 204,734 = 204,734 : x
  2. Step 2: Convert to fraction form
    128,724/204,734 = 204,734/x
  3. Step 3: Cross multiply
    128,724x = 204,734 × 204,734
  4. Step 4: Simplify right side
    128,724x = 41,916,010,756
  5. Step 5: Solve for x
    x = 41,916,010,756/128,724
  6. Step 6: Final answer
    x = 325,627.01

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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.