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Finding the Third Proportional to 692.30 and 1,028.32

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Solution

The third proportional to 692.30 and 1,028.32 is: 1,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.30 : 1,028.32 = 1,028.32 : x
  2. Step 2: Convert to fraction form
    692.30/1,028.32 = 1,028.32/x
  3. Step 3: Cross multiply
    692.30x = 1,028.32 × 1,028.32
  4. Step 4: Simplify right side
    692.30x = 1,057,442.67
  5. Step 5: Solve for x
    x = 1,057,442.67/692.30
  6. Step 6: Final answer
    x = 1,527.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.