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Finding the Third Proportional to 3,334,778 and 6,787,420

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Solution

The third proportional to 3,334,778 and 6,787,420 is: 13,814,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334,778 : 6,787,420 = 6,787,420 : x
  2. Step 2: Convert to fraction form
    3,334,778/6,787,420 = 6,787,420/x
  3. Step 3: Cross multiply
    3,334,778x = 6,787,420 × 6,787,420
  4. Step 4: Simplify right side
    3,334,778x = 46,069,070,256,400
  5. Step 5: Solve for x
    x = 46,069,070,256,400/3,334,778
  6. Step 6: Final answer
    x = 13,814,733.77

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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.