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Finding the Third Proportional to 677,844 and 1,491,120

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Solution

The third proportional to 677,844 and 1,491,120 is: 3,280,163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,844 : 1,491,120 = 1,491,120 : x
  2. Step 2: Convert to fraction form
    677,844/1,491,120 = 1,491,120/x
  3. Step 3: Cross multiply
    677,844x = 1,491,120 × 1,491,120
  4. Step 4: Simplify right side
    677,844x = 2,223,438,854,400
  5. Step 5: Solve for x
    x = 2,223,438,854,400/677,844
  6. Step 6: Final answer
    x = 3,280,163.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.