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Finding the Third Proportional to 218.91 and 476.34

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Solution

The third proportional to 218.91 and 476.34 is: 1,036.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.91 : 476.34 = 476.34 : x
  2. Step 2: Convert to fraction form
    218.91/476.34 = 476.34/x
  3. Step 3: Cross multiply
    218.91x = 476.34 × 476.34
  4. Step 4: Simplify right side
    218.91x = 226,903.37
  5. Step 5: Solve for x
    x = 226,903.37/218.91
  6. Step 6: Final answer
    x = 1,036.53

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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.