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Finding the Third Proportional to 298.78 and 656.34

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Solution

The third proportional to 298.78 and 656.34 is: 1,441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.78 : 656.34 = 656.34 : x
  2. Step 2: Convert to fraction form
    298.78/656.34 = 656.34/x
  3. Step 3: Cross multiply
    298.78x = 656.34 × 656.34
  4. Step 4: Simplify right side
    298.78x = 430,787.12
  5. Step 5: Solve for x
    x = 430,787.12/298.78
  6. Step 6: Final answer
    x = 1,441.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.