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Finding the Third Proportional to 344,072 and 521,296

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Solution

The third proportional to 344,072 and 521,296 is: 789,804.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,072 : 521,296 = 521,296 : x
  2. Step 2: Convert to fraction form
    344,072/521,296 = 521,296/x
  3. Step 3: Cross multiply
    344,072x = 521,296 × 521,296
  4. Step 4: Simplify right side
    344,072x = 271,749,519,616
  5. Step 5: Solve for x
    x = 271,749,519,616/344,072
  6. Step 6: Final answer
    x = 789,804.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.