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Finding the Third Proportional to 420,486.56 and 635,745.94

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Solution

The third proportional to 420,486.56 and 635,745.94 is: 961,202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,486.56 : 635,745.94 = 635,745.94 : x
  2. Step 2: Convert to fraction form
    420,486.56/635,745.94 = 635,745.94/x
  3. Step 3: Cross multiply
    420,486.56x = 635,745.94 × 635,745.94
  4. Step 4: Simplify right side
    420,486.56x = 404,172,897,047.75
  5. Step 5: Solve for x
    x = 404,172,897,047.75/420,486.56
  6. Step 6: Final answer
    x = 961,202.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.