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Finding the Third Proportional to 77,960 and 165,190

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Solution

The third proportional to 77,960 and 165,190 is: 350,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,960 : 165,190 = 165,190 : x
  2. Step 2: Convert to fraction form
    77,960/165,190 = 165,190/x
  3. Step 3: Cross multiply
    77,960x = 165,190 × 165,190
  4. Step 4: Simplify right side
    77,960x = 27,287,736,100
  5. Step 5: Solve for x
    x = 27,287,736,100/77,960
  6. Step 6: Final answer
    x = 350,022.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.