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Finding the Third Proportional to 420,032 and 629,880

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Solution

The third proportional to 420,032 and 629,880 is: 944,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,032 : 629,880 = 629,880 : x
  2. Step 2: Convert to fraction form
    420,032/629,880 = 629,880/x
  3. Step 3: Cross multiply
    420,032x = 629,880 × 629,880
  4. Step 4: Simplify right side
    420,032x = 396,748,814,400
  5. Step 5: Solve for x
    x = 396,748,814,400/420,032
  6. Step 6: Final answer
    x = 944,568.07

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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.