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Finding the Third Proportional to 36,311,866 and 78,362,100

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Solution

The third proportional to 36,311,866 and 78,362,100 is: 169,107,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,311,866 : 78,362,100 = 78,362,100 : x
  2. Step 2: Convert to fraction form
    36,311,866/78,362,100 = 78,362,100/x
  3. Step 3: Cross multiply
    36,311,866x = 78,362,100 × 78,362,100
  4. Step 4: Simplify right side
    36,311,866x = 6,140,618,716,410,000
  5. Step 5: Solve for x
    x = 6,140,618,716,410,000/36,311,866
  6. Step 6: Final answer
    x = 169,107,770.90

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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.