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Finding the Third Proportional to 11,778,489 and 17,680,197

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Solution

The third proportional to 11,778,489 and 17,680,197 is: 26,539,003.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778,489 : 17,680,197 = 17,680,197 : x
  2. Step 2: Convert to fraction form
    11,778,489/17,680,197 = 17,680,197/x
  3. Step 3: Cross multiply
    11,778,489x = 17,680,197 × 17,680,197
  4. Step 4: Simplify right side
    11,778,489x = 312,589,365,958,809
  5. Step 5: Solve for x
    x = 312,589,365,958,809/11,778,489
  6. Step 6: Final answer
    x = 26,539,003.94

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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.