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Finding the Third Proportional to 306,779 and 628,429

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Solution

The third proportional to 306,779 and 628,429 is: 1,287,320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,779 : 628,429 = 628,429 : x
  2. Step 2: Convert to fraction form
    306,779/628,429 = 628,429/x
  3. Step 3: Cross multiply
    306,779x = 628,429 × 628,429
  4. Step 4: Simplify right side
    306,779x = 394,923,008,041
  5. Step 5: Solve for x
    x = 394,923,008,041/306,779
  6. Step 6: Final answer
    x = 1,287,320.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.