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Finding the Third Proportional to 21,406 and 30,919

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Solution

The third proportional to 21,406 and 30,919 is: 44,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406 : 30,919 = 30,919 : x
  2. Step 2: Convert to fraction form
    21,406/30,919 = 30,919/x
  3. Step 3: Cross multiply
    21,406x = 30,919 × 30,919
  4. Step 4: Simplify right side
    21,406x = 955,984,561
  5. Step 5: Solve for x
    x = 955,984,561/21,406
  6. Step 6: Final answer
    x = 44,659.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.