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Finding the Third Proportional to 228,625 and 308,403

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Solution

The third proportional to 228,625 and 308,403 is: 416,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,625 : 308,403 = 308,403 : x
  2. Step 2: Convert to fraction form
    228,625/308,403 = 308,403/x
  3. Step 3: Cross multiply
    228,625x = 308,403 × 308,403
  4. Step 4: Simplify right side
    228,625x = 95,112,410,409
  5. Step 5: Solve for x
    x = 95,112,410,409/228,625
  6. Step 6: Final answer
    x = 416,019.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.