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Finding the Third Proportional to 134.55 and 204.32

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Solution

The third proportional to 134.55 and 204.32 is: 310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.55 : 204.32 = 204.32 : x
  2. Step 2: Convert to fraction form
    134.55/204.32 = 204.32/x
  3. Step 3: Cross multiply
    134.55x = 204.32 × 204.32
  4. Step 4: Simplify right side
    134.55x = 41,746.39
  5. Step 5: Solve for x
    x = 41,746.39/134.55
  6. Step 6: Final answer
    x = 310.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.