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Finding the Third Proportional to 621,225,675 and 1,380,354,609

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Solution

The third proportional to 621,225,675 and 1,380,354,609 is: 3,067,128,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,225,675 : 1,380,354,609 = 1,380,354,609 : x
  2. Step 2: Convert to fraction form
    621,225,675/1,380,354,609 = 1,380,354,609/x
  3. Step 3: Cross multiply
    621,225,675x = 1,380,354,609 × 1,380,354,609
  4. Step 4: Simplify right side
    621,225,675x = 1,905,378,846,587,542,784
  5. Step 5: Solve for x
    x = 1,905,378,846,587,542,784/621,225,675
  6. Step 6: Final answer
    x = 3,067,128,296.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.