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Finding the Third Proportional to 290,049.75 and 635,859

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Solution

The third proportional to 290,049.75 and 635,859 is: 1,393,956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,049.75 : 635,859 = 635,859 : x
  2. Step 2: Convert to fraction form
    290,049.75/635,859 = 635,859/x
  3. Step 3: Cross multiply
    290,049.75x = 635,859 × 635,859
  4. Step 4: Simplify right side
    290,049.75x = 404,316,667,881
  5. Step 5: Solve for x
    x = 404,316,667,881/290,049.75
  6. Step 6: Final answer
    x = 1,393,956.27

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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.