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Finding the Third Proportional to 3,743,778 and 5,349,945

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Solution

The third proportional to 3,743,778 and 5,349,945 is: 7,645,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743,778 : 5,349,945 = 5,349,945 : x
  2. Step 2: Convert to fraction form
    3,743,778/5,349,945 = 5,349,945/x
  3. Step 3: Cross multiply
    3,743,778x = 5,349,945 × 5,349,945
  4. Step 4: Simplify right side
    3,743,778x = 28,621,911,503,025
  5. Step 5: Solve for x
    x = 28,621,911,503,025/3,743,778
  6. Step 6: Final answer
    x = 7,645,194.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.