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Finding the Third Proportional to 320.84 and 692.30

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Solution

The third proportional to 320.84 and 692.30 is: 1,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.84 : 692.30 = 692.30 : x
  2. Step 2: Convert to fraction form
    320.84/692.30 = 692.30/x
  3. Step 3: Cross multiply
    320.84x = 692.30 × 692.30
  4. Step 4: Simplify right side
    320.84x = 479,274.96
  5. Step 5: Solve for x
    x = 479,274.96/320.84
  6. Step 6: Final answer
    x = 1,493.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.