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Finding the Third Proportional to 283,588 and 419,910

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Solution

The third proportional to 283,588 and 419,910 is: 621,762.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,588 : 419,910 = 419,910 : x
  2. Step 2: Convert to fraction form
    283,588/419,910 = 419,910/x
  3. Step 3: Cross multiply
    283,588x = 419,910 × 419,910
  4. Step 4: Simplify right side
    283,588x = 176,324,408,100
  5. Step 5: Solve for x
    x = 176,324,408,100/283,588
  6. Step 6: Final answer
    x = 621,762.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.