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Finding the Third Proportional to 283,910 and 439,532

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Solution

The third proportional to 283,910 and 439,532 is: 680,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,910 : 439,532 = 439,532 : x
  2. Step 2: Convert to fraction form
    283,910/439,532 = 439,532/x
  3. Step 3: Cross multiply
    283,910x = 439,532 × 439,532
  4. Step 4: Simplify right side
    283,910x = 193,188,379,024
  5. Step 5: Solve for x
    x = 193,188,379,024/283,910
  6. Step 6: Final answer
    x = 680,456.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.