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Finding the Third Proportional to 450,533 and 629,872

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Solution

The third proportional to 450,533 and 629,872 is: 880,598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,533 : 629,872 = 629,872 : x
  2. Step 2: Convert to fraction form
    450,533/629,872 = 629,872/x
  3. Step 3: Cross multiply
    450,533x = 629,872 × 629,872
  4. Step 4: Simplify right side
    450,533x = 396,738,736,384
  5. Step 5: Solve for x
    x = 396,738,736,384/450,533
  6. Step 6: Final answer
    x = 880,598.62

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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.