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Finding the Third Proportional to 420,462 and 635,722

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Solution

The third proportional to 420,462 and 635,722 is: 961,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,462 : 635,722 = 635,722 : x
  2. Step 2: Convert to fraction form
    420,462/635,722 = 635,722/x
  3. Step 3: Cross multiply
    420,462x = 635,722 × 635,722
  4. Step 4: Simplify right side
    420,462x = 404,142,461,284
  5. Step 5: Solve for x
    x = 404,142,461,284/420,462
  6. Step 6: Final answer
    x = 961,186.65

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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.