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Finding the Third Proportional to 621,225,672.75 and 1,380,354,604.88

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Solution

The third proportional to 621,225,672.75 and 1,380,354,604.88 is: 3,067,128,289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,225,672.75 : 1,380,354,604.88 = 1,380,354,604.88 : x
  2. Step 2: Convert to fraction form
    621,225,672.75/1,380,354,604.88 = 1,380,354,604.88/x
  3. Step 3: Cross multiply
    621,225,672.75x = 1,380,354,604.88 × 1,380,354,604.88
  4. Step 4: Simplify right side
    621,225,672.75x = 1,905,378,835,199,617,280
  5. Step 5: Solve for x
    x = 1,905,378,835,199,617,280/621,225,672.75
  6. Step 6: Final answer
    x = 3,067,128,289.73

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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.