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Finding the Third Proportional to 130.94 and 198.06

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Solution

The third proportional to 130.94 and 198.06 is: 299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.94 : 198.06 = 198.06 : x
  2. Step 2: Convert to fraction form
    130.94/198.06 = 198.06/x
  3. Step 3: Cross multiply
    130.94x = 198.06 × 198.06
  4. Step 4: Simplify right side
    130.94x = 39,228.75
  5. Step 5: Solve for x
    x = 39,228.75/130.94
  6. Step 6: Final answer
    x = 299.60

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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.