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Finding the Third Proportional to 300.42 and 645.84

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Solution

The third proportional to 300.42 and 645.84 is: 1,388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.42 : 645.84 = 645.84 : x
  2. Step 2: Convert to fraction form
    300.42/645.84 = 645.84/x
  3. Step 3: Cross multiply
    300.42x = 645.84 × 645.84
  4. Step 4: Simplify right side
    300.42x = 417,114.15
  5. Step 5: Solve for x
    x = 417,114.15/300.42
  6. Step 6: Final answer
    x = 1,388.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.