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Finding the Third Proportional to 300,352 and 419,910

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Solution

The third proportional to 300,352 and 419,910 is: 587,059.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,352 : 419,910 = 419,910 : x
  2. Step 2: Convert to fraction form
    300,352/419,910 = 419,910/x
  3. Step 3: Cross multiply
    300,352x = 419,910 × 419,910
  4. Step 4: Simplify right side
    300,352x = 176,324,408,100
  5. Step 5: Solve for x
    x = 176,324,408,100/300,352
  6. Step 6: Final answer
    x = 587,059.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.