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Finding the Third Proportional to 200.63 and 491.81

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Solution

The third proportional to 200.63 and 491.81 is: 1,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.63 : 491.81 = 491.81 : x
  2. Step 2: Convert to fraction form
    200.63/491.81 = 491.81/x
  3. Step 3: Cross multiply
    200.63x = 491.81 × 491.81
  4. Step 4: Simplify right side
    200.63x = 241,879.54
  5. Step 5: Solve for x
    x = 241,879.54/200.63
  6. Step 6: Final answer
    x = 1,205.63

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.