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Finding the Third Proportional to 228,622.50 and 308,400.75

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Solution

The third proportional to 228,622.50 and 308,400.75 is: 416,017.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,622.50 : 308,400.75 = 308,400.75 : x
  2. Step 2: Convert to fraction form
    228,622.50/308,400.75 = 308,400.75/x
  3. Step 3: Cross multiply
    228,622.50x = 308,400.75 × 308,400.75
  4. Step 4: Simplify right side
    228,622.50x = 95,111,022,600.56
  5. Step 5: Solve for x
    x = 95,111,022,600.56/228,622.50
  6. Step 6: Final answer
    x = 416,017.77

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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.