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Finding the Third Proportional to 81,824 and 165,628

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Solution

The third proportional to 81,824 and 165,628 is: 335,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,824 : 165,628 = 165,628 : x
  2. Step 2: Convert to fraction form
    81,824/165,628 = 165,628/x
  3. Step 3: Cross multiply
    81,824x = 165,628 × 165,628
  4. Step 4: Simplify right side
    81,824x = 27,432,634,384
  5. Step 5: Solve for x
    x = 27,432,634,384/81,824
  6. Step 6: Final answer
    x = 335,263.91

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.