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Finding the Third Proportional to 334.44 and 690.08

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Solution

The third proportional to 334.44 and 690.08 is: 1,423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.44 : 690.08 = 690.08 : x
  2. Step 2: Convert to fraction form
    334.44/690.08 = 690.08/x
  3. Step 3: Cross multiply
    334.44x = 690.08 × 690.08
  4. Step 4: Simplify right side
    334.44x = 476,213.21
  5. Step 5: Solve for x
    x = 476,213.21/334.44
  6. Step 6: Final answer
    x = 1,423.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.