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Finding the Third Proportional to 228,783 and 347,839

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Solution

The third proportional to 228,783 and 347,839 is: 528,850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,783 : 347,839 = 347,839 : x
  2. Step 2: Convert to fraction form
    228,783/347,839 = 347,839/x
  3. Step 3: Cross multiply
    228,783x = 347,839 × 347,839
  4. Step 4: Simplify right side
    228,783x = 120,991,969,921
  5. Step 5: Solve for x
    x = 120,991,969,921/228,783
  6. Step 6: Final answer
    x = 528,850.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.