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Finding the Third Proportional to 393,913 and 802,252

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Solution

The third proportional to 393,913 and 802,252 is: 1,633,884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,913 : 802,252 = 802,252 : x
  2. Step 2: Convert to fraction form
    393,913/802,252 = 802,252/x
  3. Step 3: Cross multiply
    393,913x = 802,252 × 802,252
  4. Step 4: Simplify right side
    393,913x = 643,608,271,504
  5. Step 5: Solve for x
    x = 643,608,271,504/393,913
  6. Step 6: Final answer
    x = 1,633,884.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.