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Finding the Third Proportional to 205,409 and 306,736

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Solution

The third proportional to 205,409 and 306,736 is: 458,046.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,409 : 306,736 = 306,736 : x
  2. Step 2: Convert to fraction form
    205,409/306,736 = 306,736/x
  3. Step 3: Cross multiply
    205,409x = 306,736 × 306,736
  4. Step 4: Simplify right side
    205,409x = 94,086,973,696
  5. Step 5: Solve for x
    x = 94,086,973,696/205,409
  6. Step 6: Final answer
    x = 458,046.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.