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Finding the Third Proportional to 492.75 and 662.34

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Solution

The third proportional to 492.75 and 662.34 is: 890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.75 : 662.34 = 662.34 : x
  2. Step 2: Convert to fraction form
    492.75/662.34 = 662.34/x
  3. Step 3: Cross multiply
    492.75x = 662.34 × 662.34
  4. Step 4: Simplify right side
    492.75x = 438,699.24
  5. Step 5: Solve for x
    x = 438,699.24/492.75
  6. Step 6: Final answer
    x = 890.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.