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Finding the Third Proportional to 81,936 and 112,135

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Solution

The third proportional to 81,936 and 112,135 is: 153,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,936 : 112,135 = 112,135 : x
  2. Step 2: Convert to fraction form
    81,936/112,135 = 112,135/x
  3. Step 3: Cross multiply
    81,936x = 112,135 × 112,135
  4. Step 4: Simplify right side
    81,936x = 12,574,258,225
  5. Step 5: Solve for x
    x = 12,574,258,225/81,936
  6. Step 6: Final answer
    x = 153,464.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.