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Finding the Third Proportional to 277,992 and 605,880

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Solution

The third proportional to 277,992 and 605,880 is: 1,320,507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,992 : 605,880 = 605,880 : x
  2. Step 2: Convert to fraction form
    277,992/605,880 = 605,880/x
  3. Step 3: Cross multiply
    277,992x = 605,880 × 605,880
  4. Step 4: Simplify right side
    277,992x = 367,090,574,400
  5. Step 5: Solve for x
    x = 367,090,574,400/277,992
  6. Step 6: Final answer
    x = 1,320,507.69

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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.