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Finding the Third Proportional to 278,629,642 and 650,647,104

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Solution

The third proportional to 278,629,642 and 650,647,104 is: 1,519,370,483.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,629,642 : 650,647,104 = 650,647,104 : x
  2. Step 2: Convert to fraction form
    278,629,642/650,647,104 = 650,647,104/x
  3. Step 3: Cross multiply
    278,629,642x = 650,647,104 × 650,647,104
  4. Step 4: Simplify right side
    278,629,642x = 423,341,653,943,586,816
  5. Step 5: Solve for x
    x = 423,341,653,943,586,816/278,629,642
  6. Step 6: Final answer
    x = 1,519,370,483.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.