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Finding the Third Proportional to 33,476.25 and 51,835.13

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Solution

The third proportional to 33,476.25 and 51,835.13 is: 80,262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,476.25 : 51,835.13 = 51,835.13 : x
  2. Step 2: Convert to fraction form
    33,476.25/51,835.13 = 51,835.13/x
  3. Step 3: Cross multiply
    33,476.25x = 51,835.13 × 51,835.13
  4. Step 4: Simplify right side
    33,476.25x = 2,686,880,183.77
  5. Step 5: Solve for x
    x = 2,686,880,183.77/33,476.25
  6. Step 6: Final answer
    x = 80,262.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.