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Finding the Third Proportional to 21,311 and 33,431

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Solution

The third proportional to 21,311 and 33,431 is: 52,443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,311 : 33,431 = 33,431 : x
  2. Step 2: Convert to fraction form
    21,311/33,431 = 33,431/x
  3. Step 3: Cross multiply
    21,311x = 33,431 × 33,431
  4. Step 4: Simplify right side
    21,311x = 1,117,631,761
  5. Step 5: Solve for x
    x = 1,117,631,761/21,311
  6. Step 6: Final answer
    x = 52,443.89

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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.