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Finding the Third Proportional to 7,940,819 and 11,879,608

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Solution

The third proportional to 7,940,819 and 11,879,608 is: 17,772,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940,819 : 11,879,608 = 11,879,608 : x
  2. Step 2: Convert to fraction form
    7,940,819/11,879,608 = 11,879,608/x
  3. Step 3: Cross multiply
    7,940,819x = 11,879,608 × 11,879,608
  4. Step 4: Simplify right side
    7,940,819x = 141,125,086,233,664
  5. Step 5: Solve for x
    x = 141,125,086,233,664/7,940,819
  6. Step 6: Final answer
    x = 17,772,107.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.