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Finding the Third Proportional to 21,675 and 34,011

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Solution

The third proportional to 21,675 and 34,011 is: 53,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,675 : 34,011 = 34,011 : x
  2. Step 2: Convert to fraction form
    21,675/34,011 = 34,011/x
  3. Step 3: Cross multiply
    21,675x = 34,011 × 34,011
  4. Step 4: Simplify right side
    21,675x = 1,156,748,121
  5. Step 5: Solve for x
    x = 1,156,748,121/21,675
  6. Step 6: Final answer
    x = 53,367.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.