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Finding the Third Proportional to 331.38 and 690.13

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Solution

The third proportional to 331.38 and 690.13 is: 1,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.38 : 690.13 = 690.13 : x
  2. Step 2: Convert to fraction form
    331.38/690.13 = 690.13/x
  3. Step 3: Cross multiply
    331.38x = 690.13 × 690.13
  4. Step 4: Simplify right side
    331.38x = 476,285.99
  5. Step 5: Solve for x
    x = 476,285.99/331.38
  6. Step 6: Final answer
    x = 1,437.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.