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Finding the Third Proportional to 120,198 and 277,020

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Solution

The third proportional to 120,198 and 277,020 is: 638,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,198 : 277,020 = 277,020 : x
  2. Step 2: Convert to fraction form
    120,198/277,020 = 277,020/x
  3. Step 3: Cross multiply
    120,198x = 277,020 × 277,020
  4. Step 4: Simplify right side
    120,198x = 76,740,080,400
  5. Step 5: Solve for x
    x = 76,740,080,400/120,198
  6. Step 6: Final answer
    x = 638,447.23

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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.