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Finding the Third Proportional to 18,891 and 40,225.50

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Solution

The third proportional to 18,891 and 40,225.50 is: 85,654.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,891 : 40,225.50 = 40,225.50 : x
  2. Step 2: Convert to fraction form
    18,891/40,225.50 = 40,225.50/x
  3. Step 3: Cross multiply
    18,891x = 40,225.50 × 40,225.50
  4. Step 4: Simplify right side
    18,891x = 1,618,090,850.25
  5. Step 5: Solve for x
    x = 1,618,090,850.25/18,891
  6. Step 6: Final answer
    x = 85,654.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.