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Finding the Third Proportional to 18,625.78 and 40,405.31

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Solution

The third proportional to 18,625.78 and 40,405.31 is: 87,652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,625.78 : 40,405.31 = 40,405.31 : x
  2. Step 2: Convert to fraction form
    18,625.78/40,405.31 = 40,405.31/x
  3. Step 3: Cross multiply
    18,625.78x = 40,405.31 × 40,405.31
  4. Step 4: Simplify right side
    18,625.78x = 1,632,589,278.22
  5. Step 5: Solve for x
    x = 1,632,589,278.22/18,625.78
  6. Step 6: Final answer
    x = 87,652.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.