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Finding the Third Proportional to 204.40 and 295.52

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Solution

The third proportional to 204.40 and 295.52 is: 427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.40 : 295.52 = 295.52 : x
  2. Step 2: Convert to fraction form
    204.40/295.52 = 295.52/x
  3. Step 3: Cross multiply
    204.40x = 295.52 × 295.52
  4. Step 4: Simplify right side
    204.40x = 87,334.10
  5. Step 5: Solve for x
    x = 87,334.10/204.40
  6. Step 6: Final answer
    x = 427.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.