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Finding the Third Proportional to 204,830 and 298,239

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Solution

The third proportional to 204,830 and 298,239 is: 434,245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,830 : 298,239 = 298,239 : x
  2. Step 2: Convert to fraction form
    204,830/298,239 = 298,239/x
  3. Step 3: Cross multiply
    204,830x = 298,239 × 298,239
  4. Step 4: Simplify right side
    204,830x = 88,946,501,121
  5. Step 5: Solve for x
    x = 88,946,501,121/204,830
  6. Step 6: Final answer
    x = 434,245.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.