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Finding the Third Proportional to 209.63 and 494.06

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Solution

The third proportional to 209.63 and 494.06 is: 1,164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.63 : 494.06 = 494.06 : x
  2. Step 2: Convert to fraction form
    209.63/494.06 = 494.06/x
  3. Step 3: Cross multiply
    209.63x = 494.06 × 494.06
  4. Step 4: Simplify right side
    209.63x = 244,097.75
  5. Step 5: Solve for x
    x = 244,097.75/209.63
  6. Step 6: Final answer
    x = 1,164.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.