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Finding the Third Proportional to 421.69 and 638.16

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Solution

The third proportional to 421.69 and 638.16 is: 965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.69 : 638.16 = 638.16 : x
  2. Step 2: Convert to fraction form
    421.69/638.16 = 638.16/x
  3. Step 3: Cross multiply
    421.69x = 638.16 × 638.16
  4. Step 4: Simplify right side
    421.69x = 407,243.40
  5. Step 5: Solve for x
    x = 407,243.40/421.69
  6. Step 6: Final answer
    x = 965.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.