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Finding the Third Proportional to 278,138,120 and 579,165,816

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Solution

The third proportional to 278,138,120 and 579,165,816 is: 1,205,994,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,138,120 : 579,165,816 = 579,165,816 : x
  2. Step 2: Convert to fraction form
    278,138,120/579,165,816 = 579,165,816/x
  3. Step 3: Cross multiply
    278,138,120x = 579,165,816 × 579,165,816
  4. Step 4: Simplify right side
    278,138,120x = 335,433,042,422,945,856
  5. Step 5: Solve for x
    x = 335,433,042,422,945,856/278,138,120
  6. Step 6: Final answer
    x = 1,205,994,498.07

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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.