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Finding the Third Proportional to 324,378 and 516,546

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Solution

The third proportional to 324,378 and 516,546 is: 822,558.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,378 : 516,546 = 516,546 : x
  2. Step 2: Convert to fraction form
    324,378/516,546 = 516,546/x
  3. Step 3: Cross multiply
    324,378x = 516,546 × 516,546
  4. Step 4: Simplify right side
    324,378x = 266,819,770,116
  5. Step 5: Solve for x
    x = 266,819,770,116/324,378
  6. Step 6: Final answer
    x = 822,558.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.