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Finding the Third Proportional to 120,745,809 and 170,691,097.50

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Solution

The third proportional to 120,745,809 and 170,691,097.50 is: 241,295,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,745,809 : 170,691,097.50 = 170,691,097.50 : x
  2. Step 2: Convert to fraction form
    120,745,809/170,691,097.50 = 170,691,097.50/x
  3. Step 3: Cross multiply
    120,745,809x = 170,691,097.50 × 170,691,097.50
  4. Step 4: Simplify right side
    120,745,809x = 29,135,450,765,754,508
  5. Step 5: Solve for x
    x = 29,135,450,765,754,508/120,745,809
  6. Step 6: Final answer
    x = 241,295,751.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.