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Finding the Third Proportional to 306,799.31 and 628,939.69

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Solution

The third proportional to 306,799.31 and 628,939.69 is: 1,289,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,799.31 : 628,939.69 = 628,939.69 : x
  2. Step 2: Convert to fraction form
    306,799.31/628,939.69 = 628,939.69/x
  3. Step 3: Cross multiply
    306,799.31x = 628,939.69 × 628,939.69
  4. Step 4: Simplify right side
    306,799.31x = 395,565,130,512.60
  5. Step 5: Solve for x
    x = 395,565,130,512.60/306,799.31
  6. Step 6: Final answer
    x = 1,289,328.61

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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.