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Finding the Third Proportional to 419,480 and 629,265

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Solution

The third proportional to 419,480 and 629,265 is: 943,965.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,480 : 629,265 = 629,265 : x
  2. Step 2: Convert to fraction form
    419,480/629,265 = 629,265/x
  3. Step 3: Cross multiply
    419,480x = 629,265 × 629,265
  4. Step 4: Simplify right side
    419,480x = 395,974,440,225
  5. Step 5: Solve for x
    x = 395,974,440,225/419,480
  6. Step 6: Final answer
    x = 943,965.00

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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.