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Finding the Third Proportional to 9,100,978 and 19,540,278

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Solution

The third proportional to 9,100,978 and 19,540,278 is: 41,954,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100,978 : 19,540,278 = 19,540,278 : x
  2. Step 2: Convert to fraction form
    9,100,978/19,540,278 = 19,540,278/x
  3. Step 3: Cross multiply
    9,100,978x = 19,540,278 × 19,540,278
  4. Step 4: Simplify right side
    9,100,978x = 381,822,464,317,284
  5. Step 5: Solve for x
    x = 381,822,464,317,284/9,100,978
  6. Step 6: Final answer
    x = 41,954,003.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.