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Finding the Third Proportional to 303.66 and 455.55

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Solution

The third proportional to 303.66 and 455.55 is: 683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.66 : 455.55 = 455.55 : x
  2. Step 2: Convert to fraction form
    303.66/455.55 = 455.55/x
  3. Step 3: Cross multiply
    303.66x = 455.55 × 455.55
  4. Step 4: Simplify right side
    303.66x = 207,522.96
  5. Step 5: Solve for x
    x = 207,522.96/303.66
  6. Step 6: Final answer
    x = 683.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.