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Finding the Third Proportional to 129.84 and 205.55

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Solution

The third proportional to 129.84 and 205.55 is: 325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.84 : 205.55 = 205.55 : x
  2. Step 2: Convert to fraction form
    129.84/205.55 = 205.55/x
  3. Step 3: Cross multiply
    129.84x = 205.55 × 205.55
  4. Step 4: Simplify right side
    129.84x = 42,249.52
  5. Step 5: Solve for x
    x = 42,249.52/129.84
  6. Step 6: Final answer
    x = 325.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.