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Finding the Third Proportional to 149,667,907 and 320,019,775

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Solution

The third proportional to 149,667,907 and 320,019,775 is: 684,265,975.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,667,907 : 320,019,775 = 320,019,775 : x
  2. Step 2: Convert to fraction form
    149,667,907/320,019,775 = 320,019,775/x
  3. Step 3: Cross multiply
    149,667,907x = 320,019,775 × 320,019,775
  4. Step 4: Simplify right side
    149,667,907x = 102,412,656,391,050,624
  5. Step 5: Solve for x
    x = 102,412,656,391,050,624/149,667,907
  6. Step 6: Final answer
    x = 684,265,975.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.