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Finding the Third Proportional to 1,645,257 and 3,668,604.75

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Solution

The third proportional to 1,645,257 and 3,668,604.75 is: 8,180,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645,257 : 3,668,604.75 = 3,668,604.75 : x
  2. Step 2: Convert to fraction form
    1,645,257/3,668,604.75 = 3,668,604.75/x
  3. Step 3: Cross multiply
    1,645,257x = 3,668,604.75 × 3,668,604.75
  4. Step 4: Simplify right side
    1,645,257x = 13,458,660,811,722.56
  5. Step 5: Solve for x
    x = 13,458,660,811,722.56/1,645,257
  6. Step 6: Final answer
    x = 8,180,278.71

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.