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Finding the Third Proportional to 208.63 and 453.13

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Solution

The third proportional to 208.63 and 453.13 is: 984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.63 : 453.13 = 453.13 : x
  2. Step 2: Convert to fraction form
    208.63/453.13 = 453.13/x
  3. Step 3: Cross multiply
    208.63x = 453.13 × 453.13
  4. Step 4: Simplify right side
    208.63x = 205,322.27
  5. Step 5: Solve for x
    x = 205,322.27/208.63
  6. Step 6: Final answer
    x = 984.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.