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Finding the Third Proportional to 15,724.76 and 17,165.67

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Solution

The third proportional to 15,724.76 and 17,165.67 is: 18,738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724.76 : 17,165.67 = 17,165.67 : x
  2. Step 2: Convert to fraction form
    15,724.76/17,165.67 = 17,165.67/x
  3. Step 3: Cross multiply
    15,724.76x = 17,165.67 × 17,165.67
  4. Step 4: Simplify right side
    15,724.76x = 294,660,290.92
  5. Step 5: Solve for x
    x = 294,660,290.92/15,724.76
  6. Step 6: Final answer
    x = 18,738.62

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.