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Finding the Third Proportional to 300.80 and 701.58

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Solution

The third proportional to 300.80 and 701.58 is: 1,636.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.80 : 701.58 = 701.58 : x
  2. Step 2: Convert to fraction form
    300.80/701.58 = 701.58/x
  3. Step 3: Cross multiply
    300.80x = 701.58 × 701.58
  4. Step 4: Simplify right side
    300.80x = 492,211.87
  5. Step 5: Solve for x
    x = 492,211.87/300.80
  6. Step 6: Final answer
    x = 1,636.36

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.