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Finding the Third Proportional to 102,120 and 165,788

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Solution

The third proportional to 102,120 and 165,788 is: 269,150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,120 : 165,788 = 165,788 : x
  2. Step 2: Convert to fraction form
    102,120/165,788 = 165,788/x
  3. Step 3: Cross multiply
    102,120x = 165,788 × 165,788
  4. Step 4: Simplify right side
    102,120x = 27,485,660,944
  5. Step 5: Solve for x
    x = 27,485,660,944/102,120
  6. Step 6: Final answer
    x = 269,150.62

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.