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Finding the Third Proportional to 134.55 and 208.23

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Solution

The third proportional to 134.55 and 208.23 is: 322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.55 : 208.23 = 208.23 : x
  2. Step 2: Convert to fraction form
    134.55/208.23 = 208.23/x
  3. Step 3: Cross multiply
    134.55x = 208.23 × 208.23
  4. Step 4: Simplify right side
    134.55x = 43,361.76
  5. Step 5: Solve for x
    x = 43,361.76/134.55
  6. Step 6: Final answer
    x = 322.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.