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Finding the Third Proportional to 406,644 and 629,088

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Solution

The third proportional to 406,644 and 629,088 is: 973,214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,644 : 629,088 = 629,088 : x
  2. Step 2: Convert to fraction form
    406,644/629,088 = 629,088/x
  3. Step 3: Cross multiply
    406,644x = 629,088 × 629,088
  4. Step 4: Simplify right side
    406,644x = 395,751,711,744
  5. Step 5: Solve for x
    x = 395,751,711,744/406,644
  6. Step 6: Final answer
    x = 973,214.19

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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.