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Finding the Third Proportional to 28.65 and 58.97

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Solution

The third proportional to 28.65 and 58.97 is: 121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.65 : 58.97 = 58.97 : x
  2. Step 2: Convert to fraction form
    28.65/58.97 = 58.97/x
  3. Step 3: Cross multiply
    28.65x = 58.97 × 58.97
  4. Step 4: Simplify right side
    28.65x = 3,477.49
  5. Step 5: Solve for x
    x = 3,477.49/28.65
  6. Step 6: Final answer
    x = 121.36

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.