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Finding the Third Proportional to 4,288.57 and 9,391.57

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Solution

The third proportional to 4,288.57 and 9,391.57 is: 20,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.57 : 9,391.57 = 9,391.57 : x
  2. Step 2: Convert to fraction form
    4,288.57/9,391.57 = 9,391.57/x
  3. Step 3: Cross multiply
    4,288.57x = 9,391.57 × 9,391.57
  4. Step 4: Simplify right side
    4,288.57x = 88,201,592.93
  5. Step 5: Solve for x
    x = 88,201,592.93/4,288.57
  6. Step 6: Final answer
    x = 20,566.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.