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Finding the Third Proportional to 21,272 and 45,339

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Solution

The third proportional to 21,272 and 45,339 is: 96,635.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,272 : 45,339 = 45,339 : x
  2. Step 2: Convert to fraction form
    21,272/45,339 = 45,339/x
  3. Step 3: Cross multiply
    21,272x = 45,339 × 45,339
  4. Step 4: Simplify right side
    21,272x = 2,055,624,921
  5. Step 5: Solve for x
    x = 2,055,624,921/21,272
  6. Step 6: Final answer
    x = 96,635.24

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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.