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Finding the Third Proportional to 300.90 and 660.18

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Solution

The third proportional to 300.90 and 660.18 is: 1,448.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.90 : 660.18 = 660.18 : x
  2. Step 2: Convert to fraction form
    300.90/660.18 = 660.18/x
  3. Step 3: Cross multiply
    300.90x = 660.18 × 660.18
  4. Step 4: Simplify right side
    300.90x = 435,839.80
  5. Step 5: Solve for x
    x = 435,839.80/300.90
  6. Step 6: Final answer
    x = 1,448.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.