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Finding the Third Proportional to 289,986 and 636,710

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Solution

The third proportional to 289,986 and 636,710 is: 1,397,997.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,986 : 636,710 = 636,710 : x
  2. Step 2: Convert to fraction form
    289,986/636,710 = 636,710/x
  3. Step 3: Cross multiply
    289,986x = 636,710 × 636,710
  4. Step 4: Simplify right side
    289,986x = 405,399,624,100
  5. Step 5: Solve for x
    x = 405,399,624,100/289,986
  6. Step 6: Final answer
    x = 1,397,997.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.