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Finding the Third Proportional to 334.56 and 692.38

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Solution

The third proportional to 334.56 and 692.38 is: 1,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.56 : 692.38 = 692.38 : x
  2. Step 2: Convert to fraction form
    334.56/692.38 = 692.38/x
  3. Step 3: Cross multiply
    334.56x = 692.38 × 692.38
  4. Step 4: Simplify right side
    334.56x = 479,383.14
  5. Step 5: Solve for x
    x = 479,383.14/334.56
  6. Step 6: Final answer
    x = 1,432.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.