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Finding the Third Proportional to 222,844.50 and 480,341.25

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Solution

The third proportional to 222,844.50 and 480,341.25 is: 1,035,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,844.50 : 480,341.25 = 480,341.25 : x
  2. Step 2: Convert to fraction form
    222,844.50/480,341.25 = 480,341.25/x
  3. Step 3: Cross multiply
    222,844.50x = 480,341.25 × 480,341.25
  4. Step 4: Simplify right side
    222,844.50x = 230,727,716,451.56
  5. Step 5: Solve for x
    x = 230,727,716,451.56/222,844.50
  6. Step 6: Final answer
    x = 1,035,375.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.