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Finding the Third Proportional to 78,992 and 169,102

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Solution

The third proportional to 78,992 and 169,102 is: 362,004.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,992 : 169,102 = 169,102 : x
  2. Step 2: Convert to fraction form
    78,992/169,102 = 169,102/x
  3. Step 3: Cross multiply
    78,992x = 169,102 × 169,102
  4. Step 4: Simplify right side
    78,992x = 28,595,486,404
  5. Step 5: Solve for x
    x = 28,595,486,404/78,992
  6. Step 6: Final answer
    x = 362,004.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.