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Finding the Third Proportional to 98,508 and 204,023

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Solution

The third proportional to 98,508 and 204,023 is: 422,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,508 : 204,023 = 204,023 : x
  2. Step 2: Convert to fraction form
    98,508/204,023 = 204,023/x
  3. Step 3: Cross multiply
    98,508x = 204,023 × 204,023
  4. Step 4: Simplify right side
    98,508x = 41,625,384,529
  5. Step 5: Solve for x
    x = 41,625,384,529/98,508
  6. Step 6: Final answer
    x = 422,558.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.