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Finding the Third Proportional to 420,601.50 and 635,919

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Solution

The third proportional to 420,601.50 and 635,919 is: 961,463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,601.50 : 635,919 = 635,919 : x
  2. Step 2: Convert to fraction form
    420,601.50/635,919 = 635,919/x
  3. Step 3: Cross multiply
    420,601.50x = 635,919 × 635,919
  4. Step 4: Simplify right side
    420,601.50x = 404,392,974,561
  5. Step 5: Solve for x
    x = 404,392,974,561/420,601.50
  6. Step 6: Final answer
    x = 961,463.46

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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.