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Finding the Third Proportional to 78,211,129.50 and 118,323,321.75

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Solution

The third proportional to 78,211,129.50 and 118,323,321.75 is: 179,007,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,211,129.50 : 118,323,321.75 = 118,323,321.75 : x
  2. Step 2: Convert to fraction form
    78,211,129.50/118,323,321.75 = 118,323,321.75/x
  3. Step 3: Cross multiply
    78,211,129.50x = 118,323,321.75 × 118,323,321.75
  4. Step 4: Simplify right side
    78,211,129.50x = 14,000,408,469,954,024
  5. Step 5: Solve for x
    x = 14,000,408,469,954,024/78,211,129.50
  6. Step 6: Final answer
    x = 179,007,879.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.