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Finding the Third Proportional to 3,334,743 and 6,787,341

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Solution

The third proportional to 3,334,743 and 6,787,341 is: 13,814,557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334,743 : 6,787,341 = 6,787,341 : x
  2. Step 2: Convert to fraction form
    3,334,743/6,787,341 = 6,787,341/x
  3. Step 3: Cross multiply
    3,334,743x = 6,787,341 × 6,787,341
  4. Step 4: Simplify right side
    3,334,743x = 46,067,997,850,281
  5. Step 5: Solve for x
    x = 46,067,997,850,281/3,334,743
  6. Step 6: Final answer
    x = 13,814,557.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.