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Finding the Third Proportional to 277,070 and 605,980

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Solution

The third proportional to 277,070 and 605,980 is: 1,325,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,070 : 605,980 = 605,980 : x
  2. Step 2: Convert to fraction form
    277,070/605,980 = 605,980/x
  3. Step 3: Cross multiply
    277,070x = 605,980 × 605,980
  4. Step 4: Simplify right side
    277,070x = 367,211,760,400
  5. Step 5: Solve for x
    x = 367,211,760,400/277,070
  6. Step 6: Final answer
    x = 1,325,339.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.