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Finding the Third Proportional to 222,128.26 and 433,184.84

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Solution

The third proportional to 222,128.26 and 433,184.84 is: 844,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,128.26 : 433,184.84 = 433,184.84 : x
  2. Step 2: Convert to fraction form
    222,128.26/433,184.84 = 433,184.84/x
  3. Step 3: Cross multiply
    222,128.26x = 433,184.84 × 433,184.84
  4. Step 4: Simplify right side
    222,128.26x = 187,649,102,086.20
  5. Step 5: Solve for x
    x = 187,649,102,086.20/222,128.26
  6. Step 6: Final answer
    x = 844,778.15

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.