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Finding the Third Proportional to 299,462 and 642,736

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Solution

The third proportional to 299,462 and 642,736 is: 1,379,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,462 : 642,736 = 642,736 : x
  2. Step 2: Convert to fraction form
    299,462/642,736 = 642,736/x
  3. Step 3: Cross multiply
    299,462x = 642,736 × 642,736
  4. Step 4: Simplify right side
    299,462x = 413,109,565,696
  5. Step 5: Solve for x
    x = 413,109,565,696/299,462
  6. Step 6: Final answer
    x = 1,379,505.80

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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.