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Finding the Third Proportional to 728,454 and 1,485,825

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Solution

The third proportional to 728,454 and 1,485,825 is: 3,030,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,454 : 1,485,825 = 1,485,825 : x
  2. Step 2: Convert to fraction form
    728,454/1,485,825 = 1,485,825/x
  3. Step 3: Cross multiply
    728,454x = 1,485,825 × 1,485,825
  4. Step 4: Simplify right side
    728,454x = 2,207,675,930,625
  5. Step 5: Solve for x
    x = 2,207,675,930,625/728,454
  6. Step 6: Final answer
    x = 3,030,631.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.