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Finding the Third Proportional to 120,138 and 251,616

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Solution

The third proportional to 120,138 and 251,616 is: 526,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,138 : 251,616 = 251,616 : x
  2. Step 2: Convert to fraction form
    120,138/251,616 = 251,616/x
  3. Step 3: Cross multiply
    120,138x = 251,616 × 251,616
  4. Step 4: Simplify right side
    120,138x = 63,310,611,456
  5. Step 5: Solve for x
    x = 63,310,611,456/120,138
  6. Step 6: Final answer
    x = 526,982.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.