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Finding the Third Proportional to 7,278,084 and 11,415,762

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Solution

The third proportional to 7,278,084 and 11,415,762 is: 17,905,759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278,084 : 11,415,762 = 11,415,762 : x
  2. Step 2: Convert to fraction form
    7,278,084/11,415,762 = 11,415,762/x
  3. Step 3: Cross multiply
    7,278,084x = 11,415,762 × 11,415,762
  4. Step 4: Simplify right side
    7,278,084x = 130,319,622,040,644
  5. Step 5: Solve for x
    x = 130,319,622,040,644/7,278,084
  6. Step 6: Final answer
    x = 17,905,759.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.