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Finding the Third Proportional to 293,381.44 and 642,759.19

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Solution

The third proportional to 293,381.44 and 642,759.19 is: 1,408,198.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,381.44 : 642,759.19 = 642,759.19 : x
  2. Step 2: Convert to fraction form
    293,381.44/642,759.19 = 642,759.19/x
  3. Step 3: Cross multiply
    293,381.44x = 642,759.19 × 642,759.19
  4. Step 4: Simplify right side
    293,381.44x = 413,139,373,115.66
  5. Step 5: Solve for x
    x = 413,139,373,115.66/293,381.44
  6. Step 6: Final answer
    x = 1,408,198.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.