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Finding the Third Proportional to 405,824 and 630,839

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Solution

The third proportional to 405,824 and 630,839 is: 980,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,824 : 630,839 = 630,839 : x
  2. Step 2: Convert to fraction form
    405,824/630,839 = 630,839/x
  3. Step 3: Cross multiply
    405,824x = 630,839 × 630,839
  4. Step 4: Simplify right side
    405,824x = 397,957,843,921
  5. Step 5: Solve for x
    x = 397,957,843,921/405,824
  6. Step 6: Final answer
    x = 980,616.83

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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.