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Finding the Third Proportional to 71,829.38 and 145,709.25

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Solution

The third proportional to 71,829.38 and 145,709.25 is: 295,578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,829.38 : 145,709.25 = 145,709.25 : x
  2. Step 2: Convert to fraction form
    71,829.38/145,709.25 = 145,709.25/x
  3. Step 3: Cross multiply
    71,829.38x = 145,709.25 × 145,709.25
  4. Step 4: Simplify right side
    71,829.38x = 21,231,185,535.56
  5. Step 5: Solve for x
    x = 21,231,185,535.56/71,829.38
  6. Step 6: Final answer
    x = 295,578.04

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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.