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Finding the Third Proportional to 405,821 and 630,836

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Solution

The third proportional to 405,821 and 630,836 is: 980,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,821 : 630,836 = 630,836 : x
  2. Step 2: Convert to fraction form
    405,821/630,836 = 630,836/x
  3. Step 3: Cross multiply
    405,821x = 630,836 × 630,836
  4. Step 4: Simplify right side
    405,821x = 397,954,058,896
  5. Step 5: Solve for x
    x = 397,954,058,896/405,821
  6. Step 6: Final answer
    x = 980,614.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.