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Finding the Third Proportional to 120,743,821 and 188,290,189

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Solution

The third proportional to 120,743,821 and 188,290,189 is: 293,623,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,743,821 : 188,290,189 = 188,290,189 : x
  2. Step 2: Convert to fraction form
    120,743,821/188,290,189 = 188,290,189/x
  3. Step 3: Cross multiply
    120,743,821x = 188,290,189 × 188,290,189
  4. Step 4: Simplify right side
    120,743,821x = 35,453,195,273,655,720
  5. Step 5: Solve for x
    x = 35,453,195,273,655,720/120,743,821
  6. Step 6: Final answer
    x = 293,623,267.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.