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Finding the Third Proportional to 135.56 and 304.03

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Solution

The third proportional to 135.56 and 304.03 is: 681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.56 : 304.03 = 304.03 : x
  2. Step 2: Convert to fraction form
    135.56/304.03 = 304.03/x
  3. Step 3: Cross multiply
    135.56x = 304.03 × 304.03
  4. Step 4: Simplify right side
    135.56x = 92,435.00
  5. Step 5: Solve for x
    x = 92,435.00/135.56
  6. Step 6: Final answer
    x = 681.86

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.