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Finding the Third Proportional to 328.37 and 693.58

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Solution

The third proportional to 328.37 and 693.58 is: 1,464.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.37 : 693.58 = 693.58 : x
  2. Step 2: Convert to fraction form
    328.37/693.58 = 693.58/x
  3. Step 3: Cross multiply
    328.37x = 693.58 × 693.58
  4. Step 4: Simplify right side
    328.37x = 481,056.37
  5. Step 5: Solve for x
    x = 481,056.37/328.37
  6. Step 6: Final answer
    x = 1,464.98

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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.