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Finding the Third Proportional to 218,226 and 469,653

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Solution

The third proportional to 218,226 and 469,653 is: 1,010,759.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,226 : 469,653 = 469,653 : x
  2. Step 2: Convert to fraction form
    218,226/469,653 = 469,653/x
  3. Step 3: Cross multiply
    218,226x = 469,653 × 469,653
  4. Step 4: Simplify right side
    218,226x = 220,573,940,409
  5. Step 5: Solve for x
    x = 220,573,940,409/218,226
  6. Step 6: Final answer
    x = 1,010,759.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.