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Finding the Third Proportional to 420,636 and 635,970

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Solution

The third proportional to 420,636 and 635,970 is: 961,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,636 : 635,970 = 635,970 : x
  2. Step 2: Convert to fraction form
    420,636/635,970 = 635,970/x
  3. Step 3: Cross multiply
    420,636x = 635,970 × 635,970
  4. Step 4: Simplify right side
    420,636x = 404,457,840,900
  5. Step 5: Solve for x
    x = 404,457,840,900/420,636
  6. Step 6: Final answer
    x = 961,538.81

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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.