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Finding the Third Proportional to 260,803.50 and 629,590.50

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Solution

The third proportional to 260,803.50 and 629,590.50 is: 1,519,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,803.50 : 629,590.50 = 629,590.50 : x
  2. Step 2: Convert to fraction form
    260,803.50/629,590.50 = 629,590.50/x
  3. Step 3: Cross multiply
    260,803.50x = 629,590.50 × 629,590.50
  4. Step 4: Simplify right side
    260,803.50x = 396,384,197,690.25
  5. Step 5: Solve for x
    x = 396,384,197,690.25/260,803.50
  6. Step 6: Final answer
    x = 1,519,857.66

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.