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Finding the Third Proportional to 289,743.75 and 629,373.38

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Solution

The third proportional to 289,743.75 and 629,373.38 is: 1,367,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,743.75 : 629,373.38 = 629,373.38 : x
  2. Step 2: Convert to fraction form
    289,743.75/629,373.38 = 629,373.38/x
  3. Step 3: Cross multiply
    289,743.75x = 629,373.38 × 629,373.38
  4. Step 4: Simplify right side
    289,743.75x = 396,110,845,158.89
  5. Step 5: Solve for x
    x = 396,110,845,158.89/289,743.75
  6. Step 6: Final answer
    x = 1,367,107.47

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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.