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Finding the Third Proportional to 77,961 and 117,647

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Solution

The third proportional to 77,961 and 117,647 is: 177,535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,961 : 117,647 = 117,647 : x
  2. Step 2: Convert to fraction form
    77,961/117,647 = 117,647/x
  3. Step 3: Cross multiply
    77,961x = 117,647 × 117,647
  4. Step 4: Simplify right side
    77,961x = 13,840,816,609
  5. Step 5: Solve for x
    x = 13,840,816,609/77,961
  6. Step 6: Final answer
    x = 177,535.13

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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.