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Finding the Third Proportional to 120,984 and 277,692

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Solution

The third proportional to 120,984 and 277,692 is: 637,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,984 : 277,692 = 277,692 : x
  2. Step 2: Convert to fraction form
    120,984/277,692 = 277,692/x
  3. Step 3: Cross multiply
    120,984x = 277,692 × 277,692
  4. Step 4: Simplify right side
    120,984x = 77,112,846,864
  5. Step 5: Solve for x
    x = 77,112,846,864/120,984
  6. Step 6: Final answer
    x = 637,380.54

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.