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Finding the Third Proportional to 288,560 and 629,608

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Solution

The third proportional to 288,560 and 629,608 is: 1,373,739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,560 : 629,608 = 629,608 : x
  2. Step 2: Convert to fraction form
    288,560/629,608 = 629,608/x
  3. Step 3: Cross multiply
    288,560x = 629,608 × 629,608
  4. Step 4: Simplify right side
    288,560x = 396,406,233,664
  5. Step 5: Solve for x
    x = 396,406,233,664/288,560
  6. Step 6: Final answer
    x = 1,373,739.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.