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Finding the Third Proportional to 405,815 and 630,827

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Solution

The third proportional to 405,815 and 630,827 is: 980,601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,815 : 630,827 = 630,827 : x
  2. Step 2: Convert to fraction form
    405,815/630,827 = 630,827/x
  3. Step 3: Cross multiply
    405,815x = 630,827 × 630,827
  4. Step 4: Simplify right side
    405,815x = 397,942,703,929
  5. Step 5: Solve for x
    x = 397,942,703,929/405,815
  6. Step 6: Final answer
    x = 980,601.27

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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.