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Finding the Third Proportional to 76,539 and 162,180

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Solution

The third proportional to 76,539 and 162,180 is: 343,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,539 : 162,180 = 162,180 : x
  2. Step 2: Convert to fraction form
    76,539/162,180 = 162,180/x
  3. Step 3: Cross multiply
    76,539x = 162,180 × 162,180
  4. Step 4: Simplify right side
    76,539x = 26,302,352,400
  5. Step 5: Solve for x
    x = 26,302,352,400/76,539
  6. Step 6: Final answer
    x = 343,646.41

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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.