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Finding the Third Proportional to 138,317 and 213,616

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Solution

The third proportional to 138,317 and 213,616 is: 329,907.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,317 : 213,616 = 213,616 : x
  2. Step 2: Convert to fraction form
    138,317/213,616 = 213,616/x
  3. Step 3: Cross multiply
    138,317x = 213,616 × 213,616
  4. Step 4: Simplify right side
    138,317x = 45,631,795,456
  5. Step 5: Solve for x
    x = 45,631,795,456/138,317
  6. Step 6: Final answer
    x = 329,907.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.