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Finding the Third Proportional to 222,890 and 481,312

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Solution

The third proportional to 222,890 and 481,312 is: 1,039,352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,890 : 481,312 = 481,312 : x
  2. Step 2: Convert to fraction form
    222,890/481,312 = 481,312/x
  3. Step 3: Cross multiply
    222,890x = 481,312 × 481,312
  4. Step 4: Simplify right side
    222,890x = 231,661,241,344
  5. Step 5: Solve for x
    x = 231,661,241,344/222,890
  6. Step 6: Final answer
    x = 1,039,352.33

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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.