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Finding the Third Proportional to 120,173 and 278,193

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Solution

The third proportional to 120,173 and 278,193 is: 643,999.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,173 : 278,193 = 278,193 : x
  2. Step 2: Convert to fraction form
    120,173/278,193 = 278,193/x
  3. Step 3: Cross multiply
    120,173x = 278,193 × 278,193
  4. Step 4: Simplify right side
    120,173x = 77,391,345,249
  5. Step 5: Solve for x
    x = 77,391,345,249/120,173
  6. Step 6: Final answer
    x = 643,999.44

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.