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Finding the Third Proportional to 81,578 and 180,652

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Solution

The third proportional to 81,578 and 180,652 is: 400,048.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,578 : 180,652 = 180,652 : x
  2. Step 2: Convert to fraction form
    81,578/180,652 = 180,652/x
  3. Step 3: Cross multiply
    81,578x = 180,652 × 180,652
  4. Step 4: Simplify right side
    81,578x = 32,635,145,104
  5. Step 5: Solve for x
    x = 32,635,145,104/81,578
  6. Step 6: Final answer
    x = 400,048.36

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.