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Finding the Third Proportional to 28.07 and 65.90

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Solution

The third proportional to 28.07 and 65.90 is: 154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.07 : 65.90 = 65.90 : x
  2. Step 2: Convert to fraction form
    28.07/65.90 = 65.90/x
  3. Step 3: Cross multiply
    28.07x = 65.90 × 65.90
  4. Step 4: Simplify right side
    28.07x = 4,342.24
  5. Step 5: Solve for x
    x = 4,342.24/28.07
  6. Step 6: Final answer
    x = 154.71

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.