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Finding the Third Proportional to 389,474 and 839,716

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Solution

The third proportional to 389,474 and 839,716 is: 1,810,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,474 : 839,716 = 839,716 : x
  2. Step 2: Convert to fraction form
    389,474/839,716 = 839,716/x
  3. Step 3: Cross multiply
    389,474x = 839,716 × 839,716
  4. Step 4: Simplify right side
    389,474x = 705,122,960,656
  5. Step 5: Solve for x
    x = 705,122,960,656/389,474
  6. Step 6: Final answer
    x = 1,810,449.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.