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Finding the Third Proportional to 286,474 and 624,302

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Solution

The third proportional to 286,474 and 624,302 is: 1,360,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,474 : 624,302 = 624,302 : x
  2. Step 2: Convert to fraction form
    286,474/624,302 = 624,302/x
  3. Step 3: Cross multiply
    286,474x = 624,302 × 624,302
  4. Step 4: Simplify right side
    286,474x = 389,752,987,204
  5. Step 5: Solve for x
    x = 389,752,987,204/286,474
  6. Step 6: Final answer
    x = 1,360,517.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.