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Finding the Third Proportional to 492.54 and 757.90

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Solution

The third proportional to 492.54 and 757.90 is: 1,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.54 : 757.90 = 757.90 : x
  2. Step 2: Convert to fraction form
    492.54/757.90 = 757.90/x
  3. Step 3: Cross multiply
    492.54x = 757.90 × 757.90
  4. Step 4: Simplify right side
    492.54x = 574,410.04
  5. Step 5: Solve for x
    x = 574,410.04/492.54
  6. Step 6: Final answer
    x = 1,166.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.