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Finding the Third Proportional to 218.64 and 467.54

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Solution

The third proportional to 218.64 and 467.54 is: 999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.64 : 467.54 = 467.54 : x
  2. Step 2: Convert to fraction form
    218.64/467.54 = 467.54/x
  3. Step 3: Cross multiply
    218.64x = 467.54 × 467.54
  4. Step 4: Simplify right side
    218.64x = 218,596.43
  5. Step 5: Solve for x
    x = 218,596.43/218.64
  6. Step 6: Final answer
    x = 999.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.