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Finding the Third Proportional to 406,646 and 629,091

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Solution

The third proportional to 406,646 and 629,091 is: 973,218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,646 : 629,091 = 629,091 : x
  2. Step 2: Convert to fraction form
    406,646/629,091 = 629,091/x
  3. Step 3: Cross multiply
    406,646x = 629,091 × 629,091
  4. Step 4: Simplify right side
    406,646x = 395,755,486,281
  5. Step 5: Solve for x
    x = 395,755,486,281/406,646
  6. Step 6: Final answer
    x = 973,218.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.