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Finding the Third Proportional to 228.94 and 354.94

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Solution

The third proportional to 228.94 and 354.94 is: 550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.94 : 354.94 = 354.94 : x
  2. Step 2: Convert to fraction form
    228.94/354.94 = 354.94/x
  3. Step 3: Cross multiply
    228.94x = 354.94 × 354.94
  4. Step 4: Simplify right side
    228.94x = 125,980.63
  5. Step 5: Solve for x
    x = 125,980.63/228.94
  6. Step 6: Final answer
    x = 550.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.