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Finding the Third Proportional to 334.56 and 483.25

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Solution

The third proportional to 334.56 and 483.25 is: 698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.56 : 483.25 = 483.25 : x
  2. Step 2: Convert to fraction form
    334.56/483.25 = 483.25/x
  3. Step 3: Cross multiply
    334.56x = 483.25 × 483.25
  4. Step 4: Simplify right side
    334.56x = 233,530.56
  5. Step 5: Solve for x
    x = 233,530.56/334.56
  6. Step 6: Final answer
    x = 698.02

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.