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Finding the Third Proportional to 81,430,785.50 and 177,493,410.50

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Solution

The third proportional to 81,430,785.50 and 177,493,410.50 is: 386,879,612.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,430,785.50 : 177,493,410.50 = 177,493,410.50 : x
  2. Step 2: Convert to fraction form
    81,430,785.50/177,493,410.50 = 177,493,410.50/x
  3. Step 3: Cross multiply
    81,430,785.50x = 177,493,410.50 × 177,493,410.50
  4. Step 4: Simplify right side
    81,430,785.50x = 31,503,910,770,921,512
  5. Step 5: Solve for x
    x = 31,503,910,770,921,512/81,430,785.50
  6. Step 6: Final answer
    x = 386,879,612.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.