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Finding the Third Proportional to 189,305,758.50 and 290,796,826.50

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Solution

The third proportional to 189,305,758.50 and 290,796,826.50 is: 446,699,535.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,305,758.50 : 290,796,826.50 = 290,796,826.50 : x
  2. Step 2: Convert to fraction form
    189,305,758.50/290,796,826.50 = 290,796,826.50/x
  3. Step 3: Cross multiply
    189,305,758.50x = 290,796,826.50 × 290,796,826.50
  4. Step 4: Simplify right side
    189,305,758.50x = 84,562,794,302,471,104
  5. Step 5: Solve for x
    x = 84,562,794,302,471,104/189,305,758.50
  6. Step 6: Final answer
    x = 446,699,535.04

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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.