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Finding the Third Proportional to 205,992 and 318,788

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Solution

The third proportional to 205,992 and 318,788 is: 493,348.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,992 : 318,788 = 318,788 : x
  2. Step 2: Convert to fraction form
    205,992/318,788 = 318,788/x
  3. Step 3: Cross multiply
    205,992x = 318,788 × 318,788
  4. Step 4: Simplify right side
    205,992x = 101,625,788,944
  5. Step 5: Solve for x
    x = 101,625,788,944/205,992
  6. Step 6: Final answer
    x = 493,348.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.