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Finding the Third Proportional to 407,122 and 622,779

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Solution

The third proportional to 407,122 and 622,779 is: 952,671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,122 : 622,779 = 622,779 : x
  2. Step 2: Convert to fraction form
    407,122/622,779 = 622,779/x
  3. Step 3: Cross multiply
    407,122x = 622,779 × 622,779
  4. Step 4: Simplify right side
    407,122x = 387,853,682,841
  5. Step 5: Solve for x
    x = 387,853,682,841/407,122
  6. Step 6: Final answer
    x = 952,671.88

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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.