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Finding the Third Proportional to 305,714.25 and 440,346.38

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Solution

The third proportional to 305,714.25 and 440,346.38 is: 634,268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,714.25 : 440,346.38 = 440,346.38 : x
  2. Step 2: Convert to fraction form
    305,714.25/440,346.38 = 440,346.38/x
  3. Step 3: Cross multiply
    305,714.25x = 440,346.38 × 440,346.38
  4. Step 4: Simplify right side
    305,714.25x = 193,904,929,975.64
  5. Step 5: Solve for x
    x = 193,904,929,975.64/305,714.25
  6. Step 6: Final answer
    x = 634,268.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.