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Finding the Third Proportional to 306.28 and 445.08

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Solution

The third proportional to 306.28 and 445.08 is: 646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.28 : 445.08 = 445.08 : x
  2. Step 2: Convert to fraction form
    306.28/445.08 = 445.08/x
  3. Step 3: Cross multiply
    306.28x = 445.08 × 445.08
  4. Step 4: Simplify right side
    306.28x = 198,094.54
  5. Step 5: Solve for x
    x = 198,094.54/306.28
  6. Step 6: Final answer
    x = 646.77

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.