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Finding the Third Proportional to 304.50 and 660.26

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Solution

The third proportional to 304.50 and 660.26 is: 1,431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.50 : 660.26 = 660.26 : x
  2. Step 2: Convert to fraction form
    304.50/660.26 = 660.26/x
  3. Step 3: Cross multiply
    304.50x = 660.26 × 660.26
  4. Step 4: Simplify right side
    304.50x = 435,940.38
  5. Step 5: Solve for x
    x = 435,940.38/304.50
  6. Step 6: Final answer
    x = 1,431.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.