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Finding the Third Proportional to 862.57 and 2,140.81

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Solution

The third proportional to 862.57 and 2,140.81 is: 5,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.57 : 2,140.81 = 2,140.81 : x
  2. Step 2: Convert to fraction form
    862.57/2,140.81 = 2,140.81/x
  3. Step 3: Cross multiply
    862.57x = 2,140.81 × 2,140.81
  4. Step 4: Simplify right side
    862.57x = 4,583,087.05
  5. Step 5: Solve for x
    x = 4,583,087.05/862.57
  6. Step 6: Final answer
    x = 5,313.28

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.