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Finding the Third Proportional to 277,978 and 606,928

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Solution

The third proportional to 277,978 and 606,928 is: 1,325,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,978 : 606,928 = 606,928 : x
  2. Step 2: Convert to fraction form
    277,978/606,928 = 606,928/x
  3. Step 3: Cross multiply
    277,978x = 606,928 × 606,928
  4. Step 4: Simplify right side
    277,978x = 368,361,597,184
  5. Step 5: Solve for x
    x = 368,361,597,184/277,978
  6. Step 6: Final answer
    x = 1,325,146.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.