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Finding the Third Proportional to 21,863.53 and 33,761.53

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Solution

The third proportional to 21,863.53 and 33,761.53 is: 52,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,863.53 : 33,761.53 = 33,761.53 : x
  2. Step 2: Convert to fraction form
    21,863.53/33,761.53 = 33,761.53/x
  3. Step 3: Cross multiply
    21,863.53x = 33,761.53 × 33,761.53
  4. Step 4: Simplify right side
    21,863.53x = 1,139,840,992.34
  5. Step 5: Solve for x
    x = 1,139,840,992.34/21,863.53
  6. Step 6: Final answer
    x = 52,134.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.