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Finding the Third Proportional to 79,680 and 117,690

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Solution

The third proportional to 79,680 and 117,690 is: 173,832.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,680 : 117,690 = 117,690 : x
  2. Step 2: Convert to fraction form
    79,680/117,690 = 117,690/x
  3. Step 3: Cross multiply
    79,680x = 117,690 × 117,690
  4. Step 4: Simplify right side
    79,680x = 13,850,936,100
  5. Step 5: Solve for x
    x = 13,850,936,100/79,680
  6. Step 6: Final answer
    x = 173,832.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.