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Finding the Third Proportional to 10,626.19 and 15,544.41

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Solution

The third proportional to 10,626.19 and 15,544.41 is: 22,738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626.19 : 15,544.41 = 15,544.41 : x
  2. Step 2: Convert to fraction form
    10,626.19/15,544.41 = 15,544.41/x
  3. Step 3: Cross multiply
    10,626.19x = 15,544.41 × 15,544.41
  4. Step 4: Simplify right side
    10,626.19x = 241,628,565.67
  5. Step 5: Solve for x
    x = 241,628,565.67/10,626.19
  6. Step 6: Final answer
    x = 22,738.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.