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Finding the Third Proportional to 165,720 and 355,965

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Solution

The third proportional to 165,720 and 355,965 is: 764,609.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,720 : 355,965 = 355,965 : x
  2. Step 2: Convert to fraction form
    165,720/355,965 = 355,965/x
  3. Step 3: Cross multiply
    165,720x = 355,965 × 355,965
  4. Step 4: Simplify right side
    165,720x = 126,711,081,225
  5. Step 5: Solve for x
    x = 126,711,081,225/165,720
  6. Step 6: Final answer
    x = 764,609.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.