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Finding the Third Proportional to 412,920 and 631,723

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Solution

The third proportional to 412,920 and 631,723 is: 966,467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,920 : 631,723 = 631,723 : x
  2. Step 2: Convert to fraction form
    412,920/631,723 = 631,723/x
  3. Step 3: Cross multiply
    412,920x = 631,723 × 631,723
  4. Step 4: Simplify right side
    412,920x = 399,073,948,729
  5. Step 5: Solve for x
    x = 399,073,948,729/412,920
  6. Step 6: Final answer
    x = 966,467.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.