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Finding the Third Proportional to 38,583 and 78,239.25

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Solution

The third proportional to 38,583 and 78,239.25 is: 158,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,583 : 78,239.25 = 78,239.25 : x
  2. Step 2: Convert to fraction form
    38,583/78,239.25 = 78,239.25/x
  3. Step 3: Cross multiply
    38,583x = 78,239.25 × 78,239.25
  4. Step 4: Simplify right side
    38,583x = 6,121,380,240.56
  5. Step 5: Solve for x
    x = 6,121,380,240.56/38,583
  6. Step 6: Final answer
    x = 158,654.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.