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Finding the Third Proportional to 408,968 and 679,230

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Solution

The third proportional to 408,968 and 679,230 is: 1,128,091.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,968 : 679,230 = 679,230 : x
  2. Step 2: Convert to fraction form
    408,968/679,230 = 679,230/x
  3. Step 3: Cross multiply
    408,968x = 679,230 × 679,230
  4. Step 4: Simplify right side
    408,968x = 461,353,392,900
  5. Step 5: Solve for x
    x = 461,353,392,900/408,968
  6. Step 6: Final answer
    x = 1,128,091.67

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.