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Finding the Third Proportional to 155,708,109 and 218,993,035.50

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Solution

The third proportional to 155,708,109 and 218,993,035.50 is: 307,999,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,708,109 : 218,993,035.50 = 218,993,035.50 : x
  2. Step 2: Convert to fraction form
    155,708,109/218,993,035.50 = 218,993,035.50/x
  3. Step 3: Cross multiply
    155,708,109x = 218,993,035.50 × 218,993,035.50
  4. Step 4: Simplify right side
    155,708,109x = 47,957,949,597,504,264
  5. Step 5: Solve for x
    x = 47,957,949,597,504,264/155,708,109
  6. Step 6: Final answer
    x = 307,999,049.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.