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Finding the Third Proportional to 33,538.50 and 83,328.75

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Solution

The third proportional to 33,538.50 and 83,328.75 is: 207,036.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,538.50 : 83,328.75 = 83,328.75 : x
  2. Step 2: Convert to fraction form
    33,538.50/83,328.75 = 83,328.75/x
  3. Step 3: Cross multiply
    33,538.50x = 83,328.75 × 83,328.75
  4. Step 4: Simplify right side
    33,538.50x = 6,943,680,576.56
  5. Step 5: Solve for x
    x = 6,943,680,576.56/33,538.50
  6. Step 6: Final answer
    x = 207,036.11

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.