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Finding the Third Proportional to 218,407 and 328,326

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Solution

The third proportional to 218,407 and 328,326 is: 493,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,407 : 328,326 = 328,326 : x
  2. Step 2: Convert to fraction form
    218,407/328,326 = 328,326/x
  3. Step 3: Cross multiply
    218,407x = 328,326 × 328,326
  4. Step 4: Simplify right side
    218,407x = 107,797,962,276
  5. Step 5: Solve for x
    x = 107,797,962,276/218,407
  6. Step 6: Final answer
    x = 493,564.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.