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Finding the Third Proportional to 199,617 and 309,675

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Solution

The third proportional to 199,617 and 309,675 is: 480,413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,617 : 309,675 = 309,675 : x
  2. Step 2: Convert to fraction form
    199,617/309,675 = 309,675/x
  3. Step 3: Cross multiply
    199,617x = 309,675 × 309,675
  4. Step 4: Simplify right side
    199,617x = 95,898,605,625
  5. Step 5: Solve for x
    x = 95,898,605,625/199,617
  6. Step 6: Final answer
    x = 480,413.02

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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.