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Finding the Third Proportional to 622.69 and 936.84

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Solution

The third proportional to 622.69 and 936.84 is: 1,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.69 : 936.84 = 936.84 : x
  2. Step 2: Convert to fraction form
    622.69/936.84 = 936.84/x
  3. Step 3: Cross multiply
    622.69x = 936.84 × 936.84
  4. Step 4: Simplify right side
    622.69x = 877,676.21
  5. Step 5: Solve for x
    x = 877,676.21/622.69
  6. Step 6: Final answer
    x = 1,409.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.