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Finding the Third Proportional to 189,305,766 and 290,796,837

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Solution

The third proportional to 189,305,766 and 290,796,837 is: 446,699,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,305,766 : 290,796,837 = 290,796,837 : x
  2. Step 2: Convert to fraction form
    189,305,766/290,796,837 = 290,796,837/x
  3. Step 3: Cross multiply
    189,305,766x = 290,796,837 × 290,796,837
  4. Step 4: Simplify right side
    189,305,766x = 84,562,800,409,204,576
  5. Step 5: Solve for x
    x = 84,562,800,409,204,576/189,305,766
  6. Step 6: Final answer
    x = 446,699,549.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.