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Finding the Third Proportional to 421,452 and 629,685

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Solution

The third proportional to 421,452 and 629,685 is: 940,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,452 : 629,685 = 629,685 : x
  2. Step 2: Convert to fraction form
    421,452/629,685 = 629,685/x
  3. Step 3: Cross multiply
    421,452x = 629,685 × 629,685
  4. Step 4: Simplify right side
    421,452x = 396,503,199,225
  5. Step 5: Solve for x
    x = 396,503,199,225/421,452
  6. Step 6: Final answer
    x = 940,802.75

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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.