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Finding the Third Proportional to 299,546 and 641,212

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Solution

The third proportional to 299,546 and 641,212 is: 1,372,586.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,546 : 641,212 = 641,212 : x
  2. Step 2: Convert to fraction form
    299,546/641,212 = 641,212/x
  3. Step 3: Cross multiply
    299,546x = 641,212 × 641,212
  4. Step 4: Simplify right side
    299,546x = 411,152,828,944
  5. Step 5: Solve for x
    x = 411,152,828,944/299,546
  6. Step 6: Final answer
    x = 1,372,586.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.