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Finding the Third Proportional to 621.94 and 936.28

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Solution

The third proportional to 621.94 and 936.28 is: 1,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.94 : 936.28 = 936.28 : x
  2. Step 2: Convert to fraction form
    621.94/936.28 = 936.28/x
  3. Step 3: Cross multiply
    621.94x = 936.28 × 936.28
  4. Step 4: Simplify right side
    621.94x = 876,622.58
  5. Step 5: Solve for x
    x = 876,622.58/621.94
  6. Step 6: Final answer
    x = 1,409.50

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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.