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Finding the Third Proportional to 322.06 and 692.69

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Solution

The third proportional to 322.06 and 692.69 is: 1,489.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.06 : 692.69 = 692.69 : x
  2. Step 2: Convert to fraction form
    322.06/692.69 = 692.69/x
  3. Step 3: Cross multiply
    322.06x = 692.69 × 692.69
  4. Step 4: Simplify right side
    322.06x = 479,815.97
  5. Step 5: Solve for x
    x = 479,815.97/322.06
  6. Step 6: Final answer
    x = 1,489.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.