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Finding the Third Proportional to 18,477,380.81 and 39,876,187.78

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Solution

The third proportional to 18,477,380.81 and 39,876,187.78 is: 86,057,129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,477,380.81 : 39,876,187.78 = 39,876,187.78 : x
  2. Step 2: Convert to fraction form
    18,477,380.81/39,876,187.78 = 39,876,187.78/x
  3. Step 3: Cross multiply
    18,477,380.81x = 39,876,187.78 × 39,876,187.78
  4. Step 4: Simplify right side
    18,477,380.81x = 1,590,110,351,965,511.75
  5. Step 5: Solve for x
    x = 1,590,110,351,965,511.75/18,477,380.81
  6. Step 6: Final answer
    x = 86,057,129.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.