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Finding the Third Proportional to 20,892 and 45,465

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Solution

The third proportional to 20,892 and 45,465 is: 98,940.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,892 : 45,465 = 45,465 : x
  2. Step 2: Convert to fraction form
    20,892/45,465 = 45,465/x
  3. Step 3: Cross multiply
    20,892x = 45,465 × 45,465
  4. Step 4: Simplify right side
    20,892x = 2,067,066,225
  5. Step 5: Solve for x
    x = 2,067,066,225/20,892
  6. Step 6: Final answer
    x = 98,940.56

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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.