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Finding the Third Proportional to 290,832 and 635,672

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Solution

The third proportional to 290,832 and 635,672 is: 1,389,389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,832 : 635,672 = 635,672 : x
  2. Step 2: Convert to fraction form
    290,832/635,672 = 635,672/x
  3. Step 3: Cross multiply
    290,832x = 635,672 × 635,672
  4. Step 4: Simplify right side
    290,832x = 404,078,891,584
  5. Step 5: Solve for x
    x = 404,078,891,584/290,832
  6. Step 6: Final answer
    x = 1,389,389.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.