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Finding the Third Proportional to 406,656 and 629,100

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Solution

The third proportional to 406,656 and 629,100 is: 973,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,656 : 629,100 = 629,100 : x
  2. Step 2: Convert to fraction form
    406,656/629,100 = 629,100/x
  3. Step 3: Cross multiply
    406,656x = 629,100 × 629,100
  4. Step 4: Simplify right side
    406,656x = 395,766,810,000
  5. Step 5: Solve for x
    x = 395,766,810,000/406,656
  6. Step 6: Final answer
    x = 973,222.60

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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.