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Finding the Third Proportional to 450,524 and 629,859

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Solution

The third proportional to 450,524 and 629,859 is: 880,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,524 : 629,859 = 629,859 : x
  2. Step 2: Convert to fraction form
    450,524/629,859 = 629,859/x
  3. Step 3: Cross multiply
    450,524x = 629,859 × 629,859
  4. Step 4: Simplify right side
    450,524x = 396,722,359,881
  5. Step 5: Solve for x
    x = 396,722,359,881/450,524
  6. Step 6: Final answer
    x = 880,579.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.