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Finding the Third Proportional to 204.68 and 483.03

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Solution

The third proportional to 204.68 and 483.03 is: 1,139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.68 : 483.03 = 483.03 : x
  2. Step 2: Convert to fraction form
    204.68/483.03 = 483.03/x
  3. Step 3: Cross multiply
    204.68x = 483.03 × 483.03
  4. Step 4: Simplify right side
    204.68x = 233,321.55
  5. Step 5: Solve for x
    x = 233,321.55/204.68
  6. Step 6: Final answer
    x = 1,139.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.