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Finding the Third Proportional to 324,840 and 499,947

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Solution

The third proportional to 324,840 and 499,947 is: 769,446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,840 : 499,947 = 499,947 : x
  2. Step 2: Convert to fraction form
    324,840/499,947 = 499,947/x
  3. Step 3: Cross multiply
    324,840x = 499,947 × 499,947
  4. Step 4: Simplify right side
    324,840x = 249,947,002,809
  5. Step 5: Solve for x
    x = 249,947,002,809/324,840
  6. Step 6: Final answer
    x = 769,446.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.