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Finding the Third Proportional to 406,383 and 632,842.50

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Solution

The third proportional to 406,383 and 632,842.50 is: 985,497.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,383 : 632,842.50 = 632,842.50 : x
  2. Step 2: Convert to fraction form
    406,383/632,842.50 = 632,842.50/x
  3. Step 3: Cross multiply
    406,383x = 632,842.50 × 632,842.50
  4. Step 4: Simplify right side
    406,383x = 400,489,629,806.25
  5. Step 5: Solve for x
    x = 400,489,629,806.25/406,383
  6. Step 6: Final answer
    x = 985,497.99

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