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Finding the Third Proportional to 324,172 and 505,940

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Solution

The third proportional to 324,172 and 505,940 is: 789,627.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,172 : 505,940 = 505,940 : x
  2. Step 2: Convert to fraction form
    324,172/505,940 = 505,940/x
  3. Step 3: Cross multiply
    324,172x = 505,940 × 505,940
  4. Step 4: Simplify right side
    324,172x = 255,975,283,600
  5. Step 5: Solve for x
    x = 255,975,283,600/324,172
  6. Step 6: Final answer
    x = 789,627.99

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.