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Finding the Third Proportional to 301.78 and 466.31

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Solution

The third proportional to 301.78 and 466.31 is: 720.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.78 : 466.31 = 466.31 : x
  2. Step 2: Convert to fraction form
    301.78/466.31 = 466.31/x
  3. Step 3: Cross multiply
    301.78x = 466.31 × 466.31
  4. Step 4: Simplify right side
    301.78x = 217,447.35
  5. Step 5: Solve for x
    x = 217,447.35/301.78
  6. Step 6: Final answer
    x = 720.55

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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.