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Finding the Third Proportional to 69,720 and 165,660

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Solution

The third proportional to 69,720 and 165,660 is: 393,620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,720 : 165,660 = 165,660 : x
  2. Step 2: Convert to fraction form
    69,720/165,660 = 165,660/x
  3. Step 3: Cross multiply
    69,720x = 165,660 × 165,660
  4. Step 4: Simplify right side
    69,720x = 27,443,235,600
  5. Step 5: Solve for x
    x = 27,443,235,600/69,720
  6. Step 6: Final answer
    x = 393,620.71

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.