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Finding the Third Proportional to 76,539 and 162,189

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Solution

The third proportional to 76,539 and 162,189 is: 343,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,539 : 162,189 = 162,189 : x
  2. Step 2: Convert to fraction form
    76,539/162,189 = 162,189/x
  3. Step 3: Cross multiply
    76,539x = 162,189 × 162,189
  4. Step 4: Simplify right side
    76,539x = 26,305,271,721
  5. Step 5: Solve for x
    x = 26,305,271,721/76,539
  6. Step 6: Final answer
    x = 343,684.55

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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.