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Finding the Third Proportional to 12,278,077 and 20,462,229

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Solution

The third proportional to 12,278,077 and 20,462,229 is: 34,101,660.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278,077 : 20,462,229 = 20,462,229 : x
  2. Step 2: Convert to fraction form
    12,278,077/20,462,229 = 20,462,229/x
  3. Step 3: Cross multiply
    12,278,077x = 20,462,229 × 20,462,229
  4. Step 4: Simplify right side
    12,278,077x = 418,702,815,648,441
  5. Step 5: Solve for x
    x = 418,702,815,648,441/12,278,077
  6. Step 6: Final answer
    x = 34,101,660.68

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.