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Finding the Third Proportional to 209.63 and 285.38

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Solution

The third proportional to 209.63 and 285.38 is: 388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.63 : 285.38 = 285.38 : x
  2. Step 2: Convert to fraction form
    209.63/285.38 = 285.38/x
  3. Step 3: Cross multiply
    209.63x = 285.38 × 285.38
  4. Step 4: Simplify right side
    209.63x = 81,438.89
  5. Step 5: Solve for x
    x = 81,438.89/209.63
  6. Step 6: Final answer
    x = 388.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.