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Finding the Third Proportional to 218,216 and 329,268

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Solution

The third proportional to 218,216 and 329,268 is: 496,835.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,216 : 329,268 = 329,268 : x
  2. Step 2: Convert to fraction form
    218,216/329,268 = 329,268/x
  3. Step 3: Cross multiply
    218,216x = 329,268 × 329,268
  4. Step 4: Simplify right side
    218,216x = 108,417,415,824
  5. Step 5: Solve for x
    x = 108,417,415,824/218,216
  6. Step 6: Final answer
    x = 496,835.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.