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Finding the Third Proportional to 255,016 and 521,296

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Solution

The third proportional to 255,016 and 521,296 is: 1,065,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,016 : 521,296 = 521,296 : x
  2. Step 2: Convert to fraction form
    255,016/521,296 = 521,296/x
  3. Step 3: Cross multiply
    255,016x = 521,296 × 521,296
  4. Step 4: Simplify right side
    255,016x = 271,749,519,616
  5. Step 5: Solve for x
    x = 271,749,519,616/255,016
  6. Step 6: Final answer
    x = 1,065,617.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.