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Finding the Third Proportional to 680,409 and 1,450,242

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Solution

The third proportional to 680,409 and 1,450,242 is: 3,091,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,409 : 1,450,242 = 1,450,242 : x
  2. Step 2: Convert to fraction form
    680,409/1,450,242 = 1,450,242/x
  3. Step 3: Cross multiply
    680,409x = 1,450,242 × 1,450,242
  4. Step 4: Simplify right side
    680,409x = 2,103,201,858,564
  5. Step 5: Solve for x
    x = 2,103,201,858,564/680,409
  6. Step 6: Final answer
    x = 3,091,084.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.