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Finding the Third Proportional to 301.50 and 662.06

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Solution

The third proportional to 301.50 and 662.06 is: 1,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.50 : 662.06 = 662.06 : x
  2. Step 2: Convert to fraction form
    301.50/662.06 = 662.06/x
  3. Step 3: Cross multiply
    301.50x = 662.06 × 662.06
  4. Step 4: Simplify right side
    301.50x = 438,326.75
  5. Step 5: Solve for x
    x = 438,326.75/301.50
  6. Step 6: Final answer
    x = 1,453.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.