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Finding the Third Proportional to 406,431 and 632,907

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Solution

The third proportional to 406,431 and 632,907 is: 985,582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,431 : 632,907 = 632,907 : x
  2. Step 2: Convert to fraction form
    406,431/632,907 = 632,907/x
  3. Step 3: Cross multiply
    406,431x = 632,907 × 632,907
  4. Step 4: Simplify right side
    406,431x = 400,571,270,649
  5. Step 5: Solve for x
    x = 400,571,270,649/406,431
  6. Step 6: Final answer
    x = 985,582.47

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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.