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Finding the Third Proportional to 218,903 and 325,434

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Solution

The third proportional to 218,903 and 325,434 is: 483,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,903 : 325,434 = 325,434 : x
  2. Step 2: Convert to fraction form
    218,903/325,434 = 325,434/x
  3. Step 3: Cross multiply
    218,903x = 325,434 × 325,434
  4. Step 4: Simplify right side
    218,903x = 105,907,288,356
  5. Step 5: Solve for x
    x = 105,907,288,356/218,903
  6. Step 6: Final answer
    x = 483,809.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.