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Finding the Third Proportional to 120,743,829 and 188,290,198.50

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Solution

The third proportional to 120,743,829 and 188,290,198.50 is: 293,623,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,743,829 : 188,290,198.50 = 188,290,198.50 : x
  2. Step 2: Convert to fraction form
    120,743,829/188,290,198.50 = 188,290,198.50/x
  3. Step 3: Cross multiply
    120,743,829x = 188,290,198.50 × 188,290,198.50
  4. Step 4: Simplify right side
    120,743,829x = 35,453,198,851,169,404
  5. Step 5: Solve for x
    x = 35,453,198,851,169,404/120,743,829
  6. Step 6: Final answer
    x = 293,623,277.85

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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.