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Finding the Third Proportional to 289,827 and 618,173

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Solution

The third proportional to 289,827 and 618,173 is: 1,318,503.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,827 : 618,173 = 618,173 : x
  2. Step 2: Convert to fraction form
    289,827/618,173 = 618,173/x
  3. Step 3: Cross multiply
    289,827x = 618,173 × 618,173
  4. Step 4: Simplify right side
    289,827x = 382,137,857,929
  5. Step 5: Solve for x
    x = 382,137,857,929/289,827
  6. Step 6: Final answer
    x = 1,318,503.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.