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Finding the Third Proportional to 134.94 and 204.28

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Solution

The third proportional to 134.94 and 204.28 is: 309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.94 : 204.28 = 204.28 : x
  2. Step 2: Convert to fraction form
    134.94/204.28 = 204.28/x
  3. Step 3: Cross multiply
    134.94x = 204.28 × 204.28
  4. Step 4: Simplify right side
    134.94x = 41,730.83
  5. Step 5: Solve for x
    x = 41,730.83/134.94
  6. Step 6: Final answer
    x = 309.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.