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Finding the Third Proportional to 306,945 and 628,650

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Solution

The third proportional to 306,945 and 628,650 is: 1,287,529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,945 : 628,650 = 628,650 : x
  2. Step 2: Convert to fraction form
    306,945/628,650 = 628,650/x
  3. Step 3: Cross multiply
    306,945x = 628,650 × 628,650
  4. Step 4: Simplify right side
    306,945x = 395,200,822,500
  5. Step 5: Solve for x
    x = 395,200,822,500/306,945
  6. Step 6: Final answer
    x = 1,287,529.76

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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.