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Finding the Third Proportional to 290,450.25 and 629,152.88

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Solution

The third proportional to 290,450.25 and 629,152.88 is: 1,362,826.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,450.25 : 629,152.88 = 629,152.88 : x
  2. Step 2: Convert to fraction form
    290,450.25/629,152.88 = 629,152.88/x
  3. Step 3: Cross multiply
    290,450.25x = 629,152.88 × 629,152.88
  4. Step 4: Simplify right side
    290,450.25x = 395,833,340,120.77
  5. Step 5: Solve for x
    x = 395,833,340,120.77/290,450.25
  6. Step 6: Final answer
    x = 1,362,826.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.