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Finding the Third Proportional to 78,960 and 169,296

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Solution

The third proportional to 78,960 and 169,296 is: 362,982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,960 : 169,296 = 169,296 : x
  2. Step 2: Convert to fraction form
    78,960/169,296 = 169,296/x
  3. Step 3: Cross multiply
    78,960x = 169,296 × 169,296
  4. Step 4: Simplify right side
    78,960x = 28,661,135,616
  5. Step 5: Solve for x
    x = 28,661,135,616/78,960
  6. Step 6: Final answer
    x = 362,982.97

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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.