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Finding the Third Proportional to 396,507,555 and 825,599,947.50

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Solution

The third proportional to 396,507,555 and 825,599,947.50 is: 1,719,047,379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,507,555 : 825,599,947.50 = 825,599,947.50 : x
  2. Step 2: Convert to fraction form
    396,507,555/825,599,947.50 = 825,599,947.50/x
  3. Step 3: Cross multiply
    396,507,555x = 825,599,947.50 × 825,599,947.50
  4. Step 4: Simplify right side
    396,507,555x = 681,615,273,312,002,816
  5. Step 5: Solve for x
    x = 681,615,273,312,002,816/396,507,555
  6. Step 6: Final answer
    x = 1,719,047,379.34

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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.