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Finding the Third Proportional to 405,686 and 630,645

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Solution

The third proportional to 405,686 and 630,645 is: 980,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,686 : 630,645 = 630,645 : x
  2. Step 2: Convert to fraction form
    405,686/630,645 = 630,645/x
  3. Step 3: Cross multiply
    405,686x = 630,645 × 630,645
  4. Step 4: Simplify right side
    405,686x = 397,713,116,025
  5. Step 5: Solve for x
    x = 397,713,116,025/405,686
  6. Step 6: Final answer
    x = 980,347.16

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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.