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Finding the Third Proportional to 77,696 and 117,200

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Solution

The third proportional to 77,696 and 117,200 is: 176,789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,696 : 117,200 = 117,200 : x
  2. Step 2: Convert to fraction form
    77,696/117,200 = 117,200/x
  3. Step 3: Cross multiply
    77,696x = 117,200 × 117,200
  4. Step 4: Simplify right side
    77,696x = 13,735,840,000
  5. Step 5: Solve for x
    x = 13,735,840,000/77,696
  6. Step 6: Final answer
    x = 176,789.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.