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Finding the Third Proportional to 277,734 and 605,642

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Solution

The third proportional to 277,734 and 605,642 is: 1,320,696.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,734 : 605,642 = 605,642 : x
  2. Step 2: Convert to fraction form
    277,734/605,642 = 605,642/x
  3. Step 3: Cross multiply
    277,734x = 605,642 × 605,642
  4. Step 4: Simplify right side
    277,734x = 366,802,232,164
  5. Step 5: Solve for x
    x = 366,802,232,164/277,734
  6. Step 6: Final answer
    x = 1,320,696.18

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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.