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Finding the Third Proportional to 419,532 and 629,178

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Solution

The third proportional to 419,532 and 629,178 is: 943,587.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,532 : 629,178 = 629,178 : x
  2. Step 2: Convert to fraction form
    419,532/629,178 = 629,178/x
  3. Step 3: Cross multiply
    419,532x = 629,178 × 629,178
  4. Step 4: Simplify right side
    419,532x = 395,864,955,684
  5. Step 5: Solve for x
    x = 395,864,955,684/419,532
  6. Step 6: Final answer
    x = 943,587.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.