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Finding the Third Proportional to 416.75 and 622.19

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Solution

The third proportional to 416.75 and 622.19 is: 928.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.75 : 622.19 = 622.19 : x
  2. Step 2: Convert to fraction form
    416.75/622.19 = 622.19/x
  3. Step 3: Cross multiply
    416.75x = 622.19 × 622.19
  4. Step 4: Simplify right side
    416.75x = 387,117.29
  5. Step 5: Solve for x
    x = 387,117.29/416.75
  6. Step 6: Final answer
    x = 928.90

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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.