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Finding the Third Proportional to 77,112 and 120,992

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Solution

The third proportional to 77,112 and 120,992 is: 189,841.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,112 : 120,992 = 120,992 : x
  2. Step 2: Convert to fraction form
    77,112/120,992 = 120,992/x
  3. Step 3: Cross multiply
    77,112x = 120,992 × 120,992
  4. Step 4: Simplify right side
    77,112x = 14,639,064,064
  5. Step 5: Solve for x
    x = 14,639,064,064/77,112
  6. Step 6: Final answer
    x = 189,841.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.