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Finding the Third Proportional to 135.45 and 208.23

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Solution

The third proportional to 135.45 and 208.23 is: 320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.45 : 208.23 = 208.23 : x
  2. Step 2: Convert to fraction form
    135.45/208.23 = 208.23/x
  3. Step 3: Cross multiply
    135.45x = 208.23 × 208.23
  4. Step 4: Simplify right side
    135.45x = 43,359.93
  5. Step 5: Solve for x
    x = 43,359.93/135.45
  6. Step 6: Final answer
    x = 320.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.