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Finding the Third Proportional to 208.56 and 453.69

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Solution

The third proportional to 208.56 and 453.69 is: 986.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.56 : 453.69 = 453.69 : x
  2. Step 2: Convert to fraction form
    208.56/453.69 = 453.69/x
  3. Step 3: Cross multiply
    208.56x = 453.69 × 453.69
  4. Step 4: Simplify right side
    208.56x = 205,832.35
  5. Step 5: Solve for x
    x = 205,832.35/208.56
  6. Step 6: Final answer
    x = 986.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.