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Finding the Third Proportional to 199,804 and 309,356

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Solution

The third proportional to 199,804 and 309,356 is: 478,975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,804 : 309,356 = 309,356 : x
  2. Step 2: Convert to fraction form
    199,804/309,356 = 309,356/x
  3. Step 3: Cross multiply
    199,804x = 309,356 × 309,356
  4. Step 4: Simplify right side
    199,804x = 95,701,134,736
  5. Step 5: Solve for x
    x = 95,701,134,736/199,804
  6. Step 6: Final answer
    x = 478,975.07

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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.