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Finding the Third Proportional to 283,658 and 419,880

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Solution

The third proportional to 283,658 and 419,880 is: 621,520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,658 : 419,880 = 419,880 : x
  2. Step 2: Convert to fraction form
    283,658/419,880 = 419,880/x
  3. Step 3: Cross multiply
    283,658x = 419,880 × 419,880
  4. Step 4: Simplify right side
    283,658x = 176,299,214,400
  5. Step 5: Solve for x
    x = 176,299,214,400/283,658
  6. Step 6: Final answer
    x = 621,520.33

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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.