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Finding the Third Proportional to 209.75 and 438.63

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Solution

The third proportional to 209.75 and 438.63 is: 917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.75 : 438.63 = 438.63 : x
  2. Step 2: Convert to fraction form
    209.75/438.63 = 438.63/x
  3. Step 3: Cross multiply
    209.75x = 438.63 × 438.63
  4. Step 4: Simplify right side
    209.75x = 192,391.89
  5. Step 5: Solve for x
    x = 192,391.89/209.75
  6. Step 6: Final answer
    x = 917.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.