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Finding the Third Proportional to 51,043,923 and 78,458,157

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Solution

The third proportional to 51,043,923 and 78,458,157 is: 120,595,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,043,923 : 78,458,157 = 78,458,157 : x
  2. Step 2: Convert to fraction form
    51,043,923/78,458,157 = 78,458,157/x
  3. Step 3: Cross multiply
    51,043,923x = 78,458,157 × 78,458,157
  4. Step 4: Simplify right side
    51,043,923x = 6,155,682,399,836,649
  5. Step 5: Solve for x
    x = 6,155,682,399,836,649/51,043,923
  6. Step 6: Final answer
    x = 120,595,793.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.