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Finding the Third Proportional to 15,135.75 and 20,364.75

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Solution

The third proportional to 15,135.75 and 20,364.75 is: 27,400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,135.75 : 20,364.75 = 20,364.75 : x
  2. Step 2: Convert to fraction form
    15,135.75/20,364.75 = 20,364.75/x
  3. Step 3: Cross multiply
    15,135.75x = 20,364.75 × 20,364.75
  4. Step 4: Simplify right side
    15,135.75x = 414,723,042.56
  5. Step 5: Solve for x
    x = 414,723,042.56/15,135.75
  6. Step 6: Final answer
    x = 27,400.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.