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Finding the Third Proportional to 354.88 and 386.38

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Solution

The third proportional to 354.88 and 386.38 is: 420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.88 : 386.38 = 386.38 : x
  2. Step 2: Convert to fraction form
    354.88/386.38 = 386.38/x
  3. Step 3: Cross multiply
    354.88x = 386.38 × 386.38
  4. Step 4: Simplify right side
    354.88x = 149,285.64
  5. Step 5: Solve for x
    x = 149,285.64/354.88
  6. Step 6: Final answer
    x = 420.67

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.