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Finding the Third Proportional to 18,420.38 and 40,213.75

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Solution

The third proportional to 18,420.38 and 40,213.75 is: 87,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,420.38 : 40,213.75 = 40,213.75 : x
  2. Step 2: Convert to fraction form
    18,420.38/40,213.75 = 40,213.75/x
  3. Step 3: Cross multiply
    18,420.38x = 40,213.75 × 40,213.75
  4. Step 4: Simplify right side
    18,420.38x = 1,617,145,689.06
  5. Step 5: Solve for x
    x = 1,617,145,689.06/18,420.38
  6. Step 6: Final answer
    x = 87,791.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.