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Finding the Third Proportional to 4,228,990 and 6,809,319

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Solution

The third proportional to 4,228,990 and 6,809,319 is: 10,964,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228,990 : 6,809,319 = 6,809,319 : x
  2. Step 2: Convert to fraction form
    4,228,990/6,809,319 = 6,809,319/x
  3. Step 3: Cross multiply
    4,228,990x = 6,809,319 × 6,809,319
  4. Step 4: Simplify right side
    4,228,990x = 46,366,825,243,761
  5. Step 5: Solve for x
    x = 46,366,825,243,761/4,228,990
  6. Step 6: Final answer
    x = 10,964,042.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.