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Finding the Third Proportional to 128,968 and 182,652

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Solution

The third proportional to 128,968 and 182,652 is: 258,682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,968 : 182,652 = 182,652 : x
  2. Step 2: Convert to fraction form
    128,968/182,652 = 182,652/x
  3. Step 3: Cross multiply
    128,968x = 182,652 × 182,652
  4. Step 4: Simplify right side
    128,968x = 33,361,753,104
  5. Step 5: Solve for x
    x = 33,361,753,104/128,968
  6. Step 6: Final answer
    x = 258,682.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.