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Finding the Third Proportional to 77,839 and 122,995

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Solution

The third proportional to 77,839 and 122,995 is: 194,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,839 : 122,995 = 122,995 : x
  2. Step 2: Convert to fraction form
    77,839/122,995 = 122,995/x
  3. Step 3: Cross multiply
    77,839x = 122,995 × 122,995
  4. Step 4: Simplify right side
    77,839x = 15,127,770,025
  5. Step 5: Solve for x
    x = 15,127,770,025/77,839
  6. Step 6: Final answer
    x = 194,346.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.