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Finding the Third Proportional to 218.30 and 475.08

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Solution

The third proportional to 218.30 and 475.08 is: 1,033.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.30 : 475.08 = 475.08 : x
  2. Step 2: Convert to fraction form
    218.30/475.08 = 475.08/x
  3. Step 3: Cross multiply
    218.30x = 475.08 × 475.08
  4. Step 4: Simplify right side
    218.30x = 225,699.22
  5. Step 5: Solve for x
    x = 225,699.22/218.30
  6. Step 6: Final answer
    x = 1,033.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.