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Finding the Third Proportional to 100,990,768.50 and 218,124,027

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Solution

The third proportional to 100,990,768.50 and 218,124,027 is: 471,113,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,990,768.50 : 218,124,027 = 218,124,027 : x
  2. Step 2: Convert to fraction form
    100,990,768.50/218,124,027 = 218,124,027/x
  3. Step 3: Cross multiply
    100,990,768.50x = 218,124,027 × 218,124,027
  4. Step 4: Simplify right side
    100,990,768.50x = 47,578,091,154,696,728
  5. Step 5: Solve for x
    x = 47,578,091,154,696,728/100,990,768.50
  6. Step 6: Final answer
    x = 471,113,269.67

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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.