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Finding the Third Proportional to 198.08 and 307.45

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Solution

The third proportional to 198.08 and 307.45 is: 477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.08 : 307.45 = 307.45 : x
  2. Step 2: Convert to fraction form
    198.08/307.45 = 307.45/x
  3. Step 3: Cross multiply
    198.08x = 307.45 × 307.45
  4. Step 4: Simplify right side
    198.08x = 94,527.42
  5. Step 5: Solve for x
    x = 94,527.42/198.08
  6. Step 6: Final answer
    x = 477.22

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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.