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Finding the Third Proportional to 393,524 and 869,740

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Solution

The third proportional to 393,524 and 869,740 is: 1,922,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,524 : 869,740 = 869,740 : x
  2. Step 2: Convert to fraction form
    393,524/869,740 = 869,740/x
  3. Step 3: Cross multiply
    393,524x = 869,740 × 869,740
  4. Step 4: Simplify right side
    393,524x = 756,447,667,600
  5. Step 5: Solve for x
    x = 756,447,667,600/393,524
  6. Step 6: Final answer
    x = 1,922,240.24

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.