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Finding the Third Proportional to 10,786.50 and 14,409.56

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Solution

The third proportional to 10,786.50 and 14,409.56 is: 19,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.50 : 14,409.56 = 14,409.56 : x
  2. Step 2: Convert to fraction form
    10,786.50/14,409.56 = 14,409.56/x
  3. Step 3: Cross multiply
    10,786.50x = 14,409.56 × 14,409.56
  4. Step 4: Simplify right side
    10,786.50x = 207,635,491.44
  5. Step 5: Solve for x
    x = 207,635,491.44/10,786.50
  6. Step 6: Final answer
    x = 19,249.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.