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Finding the Third Proportional to 33,440 and 78,935

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Solution

The third proportional to 33,440 and 78,935 is: 186,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,440 : 78,935 = 78,935 : x
  2. Step 2: Convert to fraction form
    33,440/78,935 = 78,935/x
  3. Step 3: Cross multiply
    33,440x = 78,935 × 78,935
  4. Step 4: Simplify right side
    33,440x = 6,230,734,225
  5. Step 5: Solve for x
    x = 6,230,734,225/33,440
  6. Step 6: Final answer
    x = 186,325.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.