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Finding the Third Proportional to 277,075 and 605,990

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Solution

The third proportional to 277,075 and 605,990 is: 1,325,359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,075 : 605,990 = 605,990 : x
  2. Step 2: Convert to fraction form
    277,075/605,990 = 605,990/x
  3. Step 3: Cross multiply
    277,075x = 605,990 × 605,990
  4. Step 4: Simplify right side
    277,075x = 367,223,880,100
  5. Step 5: Solve for x
    x = 367,223,880,100/277,075
  6. Step 6: Final answer
    x = 1,325,359.13

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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.