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Finding the Third Proportional to 222,232.50 and 482,400

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Solution

The third proportional to 222,232.50 and 482,400 is: 1,047,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,232.50 : 482,400 = 482,400 : x
  2. Step 2: Convert to fraction form
    222,232.50/482,400 = 482,400/x
  3. Step 3: Cross multiply
    222,232.50x = 482,400 × 482,400
  4. Step 4: Simplify right side
    222,232.50x = 232,709,760,000
  5. Step 5: Solve for x
    x = 232,709,760,000/222,232.50
  6. Step 6: Final answer
    x = 1,047,145.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.