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Finding the Third Proportional to 18,718 and 40,961

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Solution

The third proportional to 18,718 and 40,961 is: 89,635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,718 : 40,961 = 40,961 : x
  2. Step 2: Convert to fraction form
    18,718/40,961 = 40,961/x
  3. Step 3: Cross multiply
    18,718x = 40,961 × 40,961
  4. Step 4: Simplify right side
    18,718x = 1,677,803,521
  5. Step 5: Solve for x
    x = 1,677,803,521/18,718
  6. Step 6: Final answer
    x = 89,635.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.