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Finding the Third Proportional to 228,789 and 347,847

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Solution

The third proportional to 228,789 and 347,847 is: 528,860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,789 : 347,847 = 347,847 : x
  2. Step 2: Convert to fraction form
    228,789/347,847 = 347,847/x
  3. Step 3: Cross multiply
    228,789x = 347,847 × 347,847
  4. Step 4: Simplify right side
    228,789x = 120,997,535,409
  5. Step 5: Solve for x
    x = 120,997,535,409/228,789
  6. Step 6: Final answer
    x = 528,860.81

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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.