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Finding the Third Proportional to 198.69 and 307.03

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Solution

The third proportional to 198.69 and 307.03 is: 474.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.69 : 307.03 = 307.03 : x
  2. Step 2: Convert to fraction form
    198.69/307.03 = 307.03/x
  3. Step 3: Cross multiply
    198.69x = 307.03 × 307.03
  4. Step 4: Simplify right side
    198.69x = 94,268.19
  5. Step 5: Solve for x
    x = 94,268.19/198.69
  6. Step 6: Final answer
    x = 474.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.