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Finding the Third Proportional to 388.13 and 789.56

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Solution

The third proportional to 388.13 and 789.56 is: 1,606.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.13 : 789.56 = 789.56 : x
  2. Step 2: Convert to fraction form
    388.13/789.56 = 789.56/x
  3. Step 3: Cross multiply
    388.13x = 789.56 × 789.56
  4. Step 4: Simplify right side
    388.13x = 623,408.94
  5. Step 5: Solve for x
    x = 623,408.94/388.13
  6. Step 6: Final answer
    x = 1,606.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.