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Finding the Third Proportional to 28.80 and 58.40

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Solution

The third proportional to 28.80 and 58.40 is: 118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.80 : 58.40 = 58.40 : x
  2. Step 2: Convert to fraction form
    28.80/58.40 = 58.40/x
  3. Step 3: Cross multiply
    28.80x = 58.40 × 58.40
  4. Step 4: Simplify right side
    28.80x = 3,410.47
  5. Step 5: Solve for x
    x = 3,410.47/28.80
  6. Step 6: Final answer
    x = 118.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.