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Finding the Third Proportional to 21,544 and 45,691

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Solution

The third proportional to 21,544 and 45,691 is: 96,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,544 : 45,691 = 45,691 : x
  2. Step 2: Convert to fraction form
    21,544/45,691 = 45,691/x
  3. Step 3: Cross multiply
    21,544x = 45,691 × 45,691
  4. Step 4: Simplify right side
    21,544x = 2,087,667,481
  5. Step 5: Solve for x
    x = 2,087,667,481/21,544
  6. Step 6: Final answer
    x = 96,902.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.