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Finding the Third Proportional to 33,236 and 51,085.50

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Solution

The third proportional to 33,236 and 51,085.50 is: 78,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,236 : 51,085.50 = 51,085.50 : x
  2. Step 2: Convert to fraction form
    33,236/51,085.50 = 51,085.50/x
  3. Step 3: Cross multiply
    33,236x = 51,085.50 × 51,085.50
  4. Step 4: Simplify right side
    33,236x = 2,609,728,310.25
  5. Step 5: Solve for x
    x = 2,609,728,310.25/33,236
  6. Step 6: Final answer
    x = 78,521.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.