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Finding the Third Proportional to 301.85 and 438.54

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Solution

The third proportional to 301.85 and 438.54 is: 637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.85 : 438.54 = 438.54 : x
  2. Step 2: Convert to fraction form
    301.85/438.54 = 438.54/x
  3. Step 3: Cross multiply
    301.85x = 438.54 × 438.54
  4. Step 4: Simplify right side
    301.85x = 192,316.51
  5. Step 5: Solve for x
    x = 192,316.51/301.85
  6. Step 6: Final answer
    x = 637.12

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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.