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Finding the Third Proportional to 301.67 and 438.76

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Solution

The third proportional to 301.67 and 438.76 is: 638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.67 : 438.76 = 438.76 : x
  2. Step 2: Convert to fraction form
    301.67/438.76 = 438.76/x
  3. Step 3: Cross multiply
    301.67x = 438.76 × 438.76
  4. Step 4: Simplify right side
    301.67x = 192,511.69
  5. Step 5: Solve for x
    x = 192,511.69/301.67
  6. Step 6: Final answer
    x = 638.15

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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.