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Finding the Third Proportional to 692.75 and 1,022.38

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Solution

The third proportional to 692.75 and 1,022.38 is: 1,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.75 : 1,022.38 = 1,022.38 : x
  2. Step 2: Convert to fraction form
    692.75/1,022.38 = 1,022.38/x
  3. Step 3: Cross multiply
    692.75x = 1,022.38 × 1,022.38
  4. Step 4: Simplify right side
    692.75x = 1,045,250.64
  5. Step 5: Solve for x
    x = 1,045,250.64/692.75
  6. Step 6: Final answer
    x = 1,508.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.