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Finding the Third Proportional to 678,830 and 1,340,524

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Solution

The third proportional to 678,830 and 1,340,524 is: 2,647,208.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,830 : 1,340,524 = 1,340,524 : x
  2. Step 2: Convert to fraction form
    678,830/1,340,524 = 1,340,524/x
  3. Step 3: Cross multiply
    678,830x = 1,340,524 × 1,340,524
  4. Step 4: Simplify right side
    678,830x = 1,797,004,594,576
  5. Step 5: Solve for x
    x = 1,797,004,594,576/678,830
  6. Step 6: Final answer
    x = 2,647,208.57

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.