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Finding the Third Proportional to 2,218.32 and 4,782.48

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Solution

The third proportional to 2,218.32 and 4,782.48 is: 10,310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.32 : 4,782.48 = 4,782.48 : x
  2. Step 2: Convert to fraction form
    2,218.32/4,782.48 = 4,782.48/x
  3. Step 3: Cross multiply
    2,218.32x = 4,782.48 × 4,782.48
  4. Step 4: Simplify right side
    2,218.32x = 22,872,119.43
  5. Step 5: Solve for x
    x = 22,872,119.43/2,218.32
  6. Step 6: Final answer
    x = 10,310.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.