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Finding the Third Proportional to 406,379 and 632,836

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Solution

The third proportional to 406,379 and 632,836 is: 985,487.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,379 : 632,836 = 632,836 : x
  2. Step 2: Convert to fraction form
    406,379/632,836 = 632,836/x
  3. Step 3: Cross multiply
    406,379x = 632,836 × 632,836
  4. Step 4: Simplify right side
    406,379x = 400,481,402,896
  5. Step 5: Solve for x
    x = 400,481,402,896/406,379
  6. Step 6: Final answer
    x = 985,487.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.