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Finding the Third Proportional to 205,993 and 318,323

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Solution

The third proportional to 205,993 and 318,323 is: 491,907.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,993 : 318,323 = 318,323 : x
  2. Step 2: Convert to fraction form
    205,993/318,323 = 318,323/x
  3. Step 3: Cross multiply
    205,993x = 318,323 × 318,323
  4. Step 4: Simplify right side
    205,993x = 101,329,532,329
  5. Step 5: Solve for x
    x = 101,329,532,329/205,993
  6. Step 6: Final answer
    x = 491,907.65

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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.