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Finding the Third Proportional to 421,448 and 629,679

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Solution

The third proportional to 421,448 and 629,679 is: 940,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,448 : 629,679 = 629,679 : x
  2. Step 2: Convert to fraction form
    421,448/629,679 = 629,679/x
  3. Step 3: Cross multiply
    421,448x = 629,679 × 629,679
  4. Step 4: Simplify right side
    421,448x = 396,495,643,041
  5. Step 5: Solve for x
    x = 396,495,643,041/421,448
  6. Step 6: Final answer
    x = 940,793.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.