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Finding the Third Proportional to 8,146,467 and 11,221,821

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Solution

The third proportional to 8,146,467 and 11,221,821 is: 15,458,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146,467 : 11,221,821 = 11,221,821 : x
  2. Step 2: Convert to fraction form
    8,146,467/11,221,821 = 11,221,821/x
  3. Step 3: Cross multiply
    8,146,467x = 11,221,821 × 11,221,821
  4. Step 4: Simplify right side
    8,146,467x = 125,929,266,556,041
  5. Step 5: Solve for x
    x = 125,929,266,556,041/8,146,467
  6. Step 6: Final answer
    x = 15,458,144.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.