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Finding the Third Proportional to 222,480 and 339,228

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Solution

The third proportional to 222,480 and 339,228 is: 517,240.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,480 : 339,228 = 339,228 : x
  2. Step 2: Convert to fraction form
    222,480/339,228 = 339,228/x
  3. Step 3: Cross multiply
    222,480x = 339,228 × 339,228
  4. Step 4: Simplify right side
    222,480x = 115,075,635,984
  5. Step 5: Solve for x
    x = 115,075,635,984/222,480
  6. Step 6: Final answer
    x = 517,240.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.