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Finding the Third Proportional to 325,716 and 686,424

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Solution

The third proportional to 325,716 and 686,424 is: 1,446,591.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,716 : 686,424 = 686,424 : x
  2. Step 2: Convert to fraction form
    325,716/686,424 = 686,424/x
  3. Step 3: Cross multiply
    325,716x = 686,424 × 686,424
  4. Step 4: Simplify right side
    325,716x = 471,177,907,776
  5. Step 5: Solve for x
    x = 471,177,907,776/325,716
  6. Step 6: Final answer
    x = 1,446,591.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.