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Finding the Third Proportional to 10,728.75 and 15,478.03

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Solution

The third proportional to 10,728.75 and 15,478.03 is: 22,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.75 : 15,478.03 = 15,478.03 : x
  2. Step 2: Convert to fraction form
    10,728.75/15,478.03 = 15,478.03/x
  3. Step 3: Cross multiply
    10,728.75x = 15,478.03 × 15,478.03
  4. Step 4: Simplify right side
    10,728.75x = 239,569,451.38
  5. Step 5: Solve for x
    x = 239,569,451.38/10,728.75
  6. Step 6: Final answer
    x = 22,329.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.