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Finding the Third Proportional to 81,028 and 165,368

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Solution

The third proportional to 81,028 and 165,368 is: 337,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,028 : 165,368 = 165,368 : x
  2. Step 2: Convert to fraction form
    81,028/165,368 = 165,368/x
  3. Step 3: Cross multiply
    81,028x = 165,368 × 165,368
  4. Step 4: Simplify right side
    81,028x = 27,346,575,424
  5. Step 5: Solve for x
    x = 27,346,575,424/81,028
  6. Step 6: Final answer
    x = 337,495.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.