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Finding the Third Proportional to 198.07 and 288.25

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Solution

The third proportional to 198.07 and 288.25 is: 419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.07 : 288.25 = 288.25 : x
  2. Step 2: Convert to fraction form
    198.07/288.25 = 288.25/x
  3. Step 3: Cross multiply
    198.07x = 288.25 × 288.25
  4. Step 4: Simplify right side
    198.07x = 83,085.81
  5. Step 5: Solve for x
    x = 83,085.81/198.07
  6. Step 6: Final answer
    x = 419.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.