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Finding the Third Proportional to 77,928 and 113,976

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Solution

The third proportional to 77,928 and 113,976 is: 166,699.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,928 : 113,976 = 113,976 : x
  2. Step 2: Convert to fraction form
    77,928/113,976 = 113,976/x
  3. Step 3: Cross multiply
    77,928x = 113,976 × 113,976
  4. Step 4: Simplify right side
    77,928x = 12,990,528,576
  5. Step 5: Solve for x
    x = 12,990,528,576/77,928
  6. Step 6: Final answer
    x = 166,699.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.