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Finding the Third Proportional to 618,075 and 1,283,520

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Solution

The third proportional to 618,075 and 1,283,520 is: 2,665,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,075 : 1,283,520 = 1,283,520 : x
  2. Step 2: Convert to fraction form
    618,075/1,283,520 = 1,283,520/x
  3. Step 3: Cross multiply
    618,075x = 1,283,520 × 1,283,520
  4. Step 4: Simplify right side
    618,075x = 1,647,423,590,400
  5. Step 5: Solve for x
    x = 1,647,423,590,400/618,075
  6. Step 6: Final answer
    x = 2,665,410.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.