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Finding the Third Proportional to 299,182 and 648,212

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Solution

The third proportional to 299,182 and 648,212 is: 1,404,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,182 : 648,212 = 648,212 : x
  2. Step 2: Convert to fraction form
    299,182/648,212 = 648,212/x
  3. Step 3: Cross multiply
    299,182x = 648,212 × 648,212
  4. Step 4: Simplify right side
    299,182x = 420,178,796,944
  5. Step 5: Solve for x
    x = 420,178,796,944/299,182
  6. Step 6: Final answer
    x = 1,404,425.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.