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Finding the Third Proportional to 21,343 and 45,845

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Solution

The third proportional to 21,343 and 45,845 is: 98,475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,343 : 45,845 = 45,845 : x
  2. Step 2: Convert to fraction form
    21,343/45,845 = 45,845/x
  3. Step 3: Cross multiply
    21,343x = 45,845 × 45,845
  4. Step 4: Simplify right side
    21,343x = 2,101,764,025
  5. Step 5: Solve for x
    x = 2,101,764,025/21,343
  6. Step 6: Final answer
    x = 98,475.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.