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Finding the Third Proportional to 204,484 and 339,615

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Solution

The third proportional to 204,484 and 339,615 is: 564,045.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,484 : 339,615 = 339,615 : x
  2. Step 2: Convert to fraction form
    204,484/339,615 = 339,615/x
  3. Step 3: Cross multiply
    204,484x = 339,615 × 339,615
  4. Step 4: Simplify right side
    204,484x = 115,338,348,225
  5. Step 5: Solve for x
    x = 115,338,348,225/204,484
  6. Step 6: Final answer
    x = 564,045.83

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.