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Finding the Third Proportional to 405,732 and 630,714

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Solution

The third proportional to 405,732 and 630,714 is: 980,450.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,732 : 630,714 = 630,714 : x
  2. Step 2: Convert to fraction form
    405,732/630,714 = 630,714/x
  3. Step 3: Cross multiply
    405,732x = 630,714 × 630,714
  4. Step 4: Simplify right side
    405,732x = 397,800,149,796
  5. Step 5: Solve for x
    x = 397,800,149,796/405,732
  6. Step 6: Final answer
    x = 980,450.52

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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.