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Finding the Third Proportional to 21,162 and 45,239

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Solution

The third proportional to 21,162 and 45,239 is: 96,709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162 : 45,239 = 45,239 : x
  2. Step 2: Convert to fraction form
    21,162/45,239 = 45,239/x
  3. Step 3: Cross multiply
    21,162x = 45,239 × 45,239
  4. Step 4: Simplify right side
    21,162x = 2,046,567,121
  5. Step 5: Solve for x
    x = 2,046,567,121/21,162
  6. Step 6: Final answer
    x = 96,709.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.