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Finding the Third Proportional to 421.97 and 628.53

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Solution

The third proportional to 421.97 and 628.53 is: 936.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.97 : 628.53 = 628.53 : x
  2. Step 2: Convert to fraction form
    421.97/628.53 = 628.53/x
  3. Step 3: Cross multiply
    421.97x = 628.53 × 628.53
  4. Step 4: Simplify right side
    421.97x = 395,051.53
  5. Step 5: Solve for x
    x = 395,051.53/421.97
  6. Step 6: Final answer
    x = 936.21

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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.