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Finding the Third Proportional to 351,408.38 and 769,884.75

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Solution

The third proportional to 351,408.38 and 769,884.75 is: 1,686,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,408.38 : 769,884.75 = 769,884.75 : x
  2. Step 2: Convert to fraction form
    351,408.38/769,884.75 = 769,884.75/x
  3. Step 3: Cross multiply
    351,408.38x = 769,884.75 × 769,884.75
  4. Step 4: Simplify right side
    351,408.38x = 592,722,528,282.56
  5. Step 5: Solve for x
    x = 592,722,528,282.56/351,408.38
  6. Step 6: Final answer
    x = 1,686,705.75

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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.