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Finding the Third Proportional to 20,148.75 and 28,185.47

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Solution

The third proportional to 20,148.75 and 28,185.47 is: 39,427.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,148.75 : 28,185.47 = 28,185.47 : x
  2. Step 2: Convert to fraction form
    20,148.75/28,185.47 = 28,185.47/x
  3. Step 3: Cross multiply
    20,148.75x = 28,185.47 × 28,185.47
  4. Step 4: Simplify right side
    20,148.75x = 794,420,648.66
  5. Step 5: Solve for x
    x = 794,420,648.66/20,148.75
  6. Step 6: Final answer
    x = 39,427.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.