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Finding the Third Proportional to 206,409 and 454,719.75

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Solution

The third proportional to 206,409 and 454,719.75 is: 1,001,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,409 : 454,719.75 = 454,719.75 : x
  2. Step 2: Convert to fraction form
    206,409/454,719.75 = 454,719.75/x
  3. Step 3: Cross multiply
    206,409x = 454,719.75 × 454,719.75
  4. Step 4: Simplify right side
    206,409x = 206,770,051,040.06
  5. Step 5: Solve for x
    x = 206,770,051,040.06/206,409
  6. Step 6: Final answer
    x = 1,001,749.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.