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Finding the Third Proportional to 374.20 and 789.01

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Solution

The third proportional to 374.20 and 789.01 is: 1,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.20 : 789.01 = 789.01 : x
  2. Step 2: Convert to fraction form
    374.20/789.01 = 789.01/x
  3. Step 3: Cross multiply
    374.20x = 789.01 × 789.01
  4. Step 4: Simplify right side
    374.20x = 622,539.49
  5. Step 5: Solve for x
    x = 622,539.49/374.20
  6. Step 6: Final answer
    x = 1,663.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.