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Finding the Third Proportional to 328.64 and 697.85

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Solution

The third proportional to 328.64 and 697.85 is: 1,481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.64 : 697.85 = 697.85 : x
  2. Step 2: Convert to fraction form
    328.64/697.85 = 697.85/x
  3. Step 3: Cross multiply
    328.64x = 697.85 × 697.85
  4. Step 4: Simplify right side
    328.64x = 486,999.87
  5. Step 5: Solve for x
    x = 486,999.87/328.64
  6. Step 6: Final answer
    x = 1,481.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.