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Finding the Third Proportional to 144,992 and 218,379

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Solution

The third proportional to 144,992 and 218,379 is: 328,910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,992 : 218,379 = 218,379 : x
  2. Step 2: Convert to fraction form
    144,992/218,379 = 218,379/x
  3. Step 3: Cross multiply
    144,992x = 218,379 × 218,379
  4. Step 4: Simplify right side
    144,992x = 47,689,387,641
  5. Step 5: Solve for x
    x = 47,689,387,641/144,992
  6. Step 6: Final answer
    x = 328,910.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.