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Finding the Third Proportional to 299,616 and 643,296

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Solution

The third proportional to 299,616 and 643,296 is: 1,381,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,616 : 643,296 = 643,296 : x
  2. Step 2: Convert to fraction form
    299,616/643,296 = 643,296/x
  3. Step 3: Cross multiply
    299,616x = 643,296 × 643,296
  4. Step 4: Simplify right side
    299,616x = 413,829,743,616
  5. Step 5: Solve for x
    x = 413,829,743,616/299,616
  6. Step 6: Final answer
    x = 1,381,200.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.