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Finding the Third Proportional to 18,815 and 40,066

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Solution

The third proportional to 18,815 and 40,066 is: 85,319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,815 : 40,066 = 40,066 : x
  2. Step 2: Convert to fraction form
    18,815/40,066 = 40,066/x
  3. Step 3: Cross multiply
    18,815x = 40,066 × 40,066
  4. Step 4: Simplify right side
    18,815x = 1,605,284,356
  5. Step 5: Solve for x
    x = 1,605,284,356/18,815
  6. Step 6: Final answer
    x = 85,319.39

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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.