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Finding the Third Proportional to 2,278.13 and 3,518.28

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Solution

The third proportional to 2,278.13 and 3,518.28 is: 5,433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.13 : 3,518.28 = 3,518.28 : x
  2. Step 2: Convert to fraction form
    2,278.13/3,518.28 = 3,518.28/x
  3. Step 3: Cross multiply
    2,278.13x = 3,518.28 × 3,518.28
  4. Step 4: Simplify right side
    2,278.13x = 12,378,289.21
  5. Step 5: Solve for x
    x = 12,378,289.21/2,278.13
  6. Step 6: Final answer
    x = 5,433.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.