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Finding the Third Proportional to 406,424 and 632,903

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Solution

The third proportional to 406,424 and 632,903 is: 985,586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,424 : 632,903 = 632,903 : x
  2. Step 2: Convert to fraction form
    406,424/632,903 = 632,903/x
  3. Step 3: Cross multiply
    406,424x = 632,903 × 632,903
  4. Step 4: Simplify right side
    406,424x = 400,566,207,409
  5. Step 5: Solve for x
    x = 400,566,207,409/406,424
  6. Step 6: Final answer
    x = 985,586.99

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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.