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Finding the Third Proportional to 338,473 and 743,379

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Solution

The third proportional to 338,473 and 743,379 is: 1,632,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,473 : 743,379 = 743,379 : x
  2. Step 2: Convert to fraction form
    338,473/743,379 = 743,379/x
  3. Step 3: Cross multiply
    338,473x = 743,379 × 743,379
  4. Step 4: Simplify right side
    338,473x = 552,612,337,641
  5. Step 5: Solve for x
    x = 552,612,337,641/338,473
  6. Step 6: Final answer
    x = 1,632,662.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.