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Finding the Third Proportional to 222,715.20 and 480,900.80

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Solution

The third proportional to 222,715.20 and 480,900.80 is: 1,038,391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,715.20 : 480,900.80 = 480,900.80 : x
  2. Step 2: Convert to fraction form
    222,715.20/480,900.80 = 480,900.80/x
  3. Step 3: Cross multiply
    222,715.20x = 480,900.80 × 480,900.80
  4. Step 4: Simplify right side
    222,715.20x = 231,265,576,435.01
  5. Step 5: Solve for x
    x = 231,265,576,435.01/222,715.20
  6. Step 6: Final answer
    x = 1,038,391.55

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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.