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Finding the Third Proportional to 421.69 and 628.69

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Solution

The third proportional to 421.69 and 628.69 is: 937.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.69 : 628.69 = 628.69 : x
  2. Step 2: Convert to fraction form
    421.69/628.69 = 628.69/x
  3. Step 3: Cross multiply
    421.69x = 628.69 × 628.69
  4. Step 4: Simplify right side
    421.69x = 395,247.97
  5. Step 5: Solve for x
    x = 395,247.97/421.69
  6. Step 6: Final answer
    x = 937.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.