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Finding the Third Proportional to 407,059 and 622,676.50

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Solution

The third proportional to 407,059 and 622,676.50 is: 952,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,059 : 622,676.50 = 622,676.50 : x
  2. Step 2: Convert to fraction form
    407,059/622,676.50 = 622,676.50/x
  3. Step 3: Cross multiply
    407,059x = 622,676.50 × 622,676.50
  4. Step 4: Simplify right side
    407,059x = 387,726,023,652.25
  5. Step 5: Solve for x
    x = 387,726,023,652.25/407,059
  6. Step 6: Final answer
    x = 952,505.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.