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Finding the Third Proportional to 330,834 and 717,672

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Solution

The third proportional to 330,834 and 717,672 is: 1,556,832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,834 : 717,672 = 717,672 : x
  2. Step 2: Convert to fraction form
    330,834/717,672 = 717,672/x
  3. Step 3: Cross multiply
    330,834x = 717,672 × 717,672
  4. Step 4: Simplify right side
    330,834x = 515,053,099,584
  5. Step 5: Solve for x
    x = 515,053,099,584/330,834
  6. Step 6: Final answer
    x = 1,556,832.43

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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.