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Finding the Third Proportional to 209.81 and 452.53

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Solution

The third proportional to 209.81 and 452.53 is: 976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.81 : 452.53 = 452.53 : x
  2. Step 2: Convert to fraction form
    209.81/452.53 = 452.53/x
  3. Step 3: Cross multiply
    209.81x = 452.53 × 452.53
  4. Step 4: Simplify right side
    209.81x = 204,784.53
  5. Step 5: Solve for x
    x = 204,784.53/209.81
  6. Step 6: Final answer
    x = 976.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.