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Finding the Third Proportional to 330.88 and 670.94

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Solution

The third proportional to 330.88 and 670.94 is: 1,360.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.88 : 670.94 = 670.94 : x
  2. Step 2: Convert to fraction form
    330.88/670.94 = 670.94/x
  3. Step 3: Cross multiply
    330.88x = 670.94 × 670.94
  4. Step 4: Simplify right side
    330.88x = 450,157.13
  5. Step 5: Solve for x
    x = 450,157.13/330.88
  6. Step 6: Final answer
    x = 1,360.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.