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Finding the Third Proportional to 6,768,424 and 11,110,906.50

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Solution

The third proportional to 6,768,424 and 11,110,906.50 is: 18,239,437.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768,424 : 11,110,906.50 = 11,110,906.50 : x
  2. Step 2: Convert to fraction form
    6,768,424/11,110,906.50 = 11,110,906.50/x
  3. Step 3: Cross multiply
    6,768,424x = 11,110,906.50 × 11,110,906.50
  4. Step 4: Simplify right side
    6,768,424x = 123,452,243,251,742.25
  5. Step 5: Solve for x
    x = 123,452,243,251,742.25/6,768,424
  6. Step 6: Final answer
    x = 18,239,437.02

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.