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Finding the Third Proportional to 308.06 and 433.03

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Solution

The third proportional to 308.06 and 433.03 is: 608.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.06 : 433.03 = 433.03 : x
  2. Step 2: Convert to fraction form
    308.06/433.03 = 433.03/x
  3. Step 3: Cross multiply
    308.06x = 433.03 × 433.03
  4. Step 4: Simplify right side
    308.06x = 187,516.06
  5. Step 5: Solve for x
    x = 187,516.06/308.06
  6. Step 6: Final answer
    x = 608.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.