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Finding the Third Proportional to 204,536 and 446,260

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Solution

The third proportional to 204,536 and 446,260 is: 973,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,536 : 446,260 = 446,260 : x
  2. Step 2: Convert to fraction form
    204,536/446,260 = 446,260/x
  3. Step 3: Cross multiply
    204,536x = 446,260 × 446,260
  4. Step 4: Simplify right side
    204,536x = 199,147,987,600
  5. Step 5: Solve for x
    x = 199,147,987,600/204,536
  6. Step 6: Final answer
    x = 973,657.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.