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Finding the Third Proportional to 2,518.17 and 5,403.80

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Solution

The third proportional to 2,518.17 and 5,403.80 is: 11,596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.17 : 5,403.80 = 5,403.80 : x
  2. Step 2: Convert to fraction form
    2,518.17/5,403.80 = 5,403.80/x
  3. Step 3: Cross multiply
    2,518.17x = 5,403.80 × 5,403.80
  4. Step 4: Simplify right side
    2,518.17x = 29,201,020.67
  5. Step 5: Solve for x
    x = 29,201,020.67/2,518.17
  6. Step 6: Final answer
    x = 11,596.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.