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Finding the Third Proportional to 19,836 and 31,893

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Solution

The third proportional to 19,836 and 31,893 is: 51,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,836 : 31,893 = 31,893 : x
  2. Step 2: Convert to fraction form
    19,836/31,893 = 31,893/x
  3. Step 3: Cross multiply
    19,836x = 31,893 × 31,893
  4. Step 4: Simplify right side
    19,836x = 1,017,163,449
  5. Step 5: Solve for x
    x = 1,017,163,449/19,836
  6. Step 6: Final answer
    x = 51,278.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.