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Finding the Third Proportional to 405,830 and 630,849

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Solution

The third proportional to 405,830 and 630,849 is: 980,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,830 : 630,849 = 630,849 : x
  2. Step 2: Convert to fraction form
    405,830/630,849 = 630,849/x
  3. Step 3: Cross multiply
    405,830x = 630,849 × 630,849
  4. Step 4: Simplify right side
    405,830x = 397,970,460,801
  5. Step 5: Solve for x
    x = 397,970,460,801/405,830
  6. Step 6: Final answer
    x = 980,633.42

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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.