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Finding the Third Proportional to 15,786.75 and 20,322.75

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Solution

The third proportional to 15,786.75 and 20,322.75 is: 26,162.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.75 : 20,322.75 = 20,322.75 : x
  2. Step 2: Convert to fraction form
    15,786.75/20,322.75 = 20,322.75/x
  3. Step 3: Cross multiply
    15,786.75x = 20,322.75 × 20,322.75
  4. Step 4: Simplify right side
    15,786.75x = 413,014,167.56
  5. Step 5: Solve for x
    x = 413,014,167.56/15,786.75
  6. Step 6: Final answer
    x = 26,162.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.