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Finding the Third Proportional to 133,682 and 289,188

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Solution

The third proportional to 133,682 and 289,188 is: 625,586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,682 : 289,188 = 289,188 : x
  2. Step 2: Convert to fraction form
    133,682/289,188 = 289,188/x
  3. Step 3: Cross multiply
    133,682x = 289,188 × 289,188
  4. Step 4: Simplify right side
    133,682x = 83,629,699,344
  5. Step 5: Solve for x
    x = 83,629,699,344/133,682
  6. Step 6: Final answer
    x = 625,586.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.