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Finding the Third Proportional to 320.72 and 692.60

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Solution

The third proportional to 320.72 and 692.60 is: 1,495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.72 : 692.60 = 692.60 : x
  2. Step 2: Convert to fraction form
    320.72/692.60 = 692.60/x
  3. Step 3: Cross multiply
    320.72x = 692.60 × 692.60
  4. Step 4: Simplify right side
    320.72x = 479,696.92
  5. Step 5: Solve for x
    x = 479,696.92/320.72
  6. Step 6: Final answer
    x = 1,495.69

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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.