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Finding the Third Proportional to 299,936 and 648,832

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Solution

The third proportional to 299,936 and 648,832 is: 1,403,575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,936 : 648,832 = 648,832 : x
  2. Step 2: Convert to fraction form
    299,936/648,832 = 648,832/x
  3. Step 3: Cross multiply
    299,936x = 648,832 × 648,832
  4. Step 4: Simplify right side
    299,936x = 420,982,964,224
  5. Step 5: Solve for x
    x = 420,982,964,224/299,936
  6. Step 6: Final answer
    x = 1,403,575.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.