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Finding the Third Proportional to 23,787 and 33,252

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Solution

The third proportional to 23,787 and 33,252 is: 46,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,787 : 33,252 = 33,252 : x
  2. Step 2: Convert to fraction form
    23,787/33,252 = 33,252/x
  3. Step 3: Cross multiply
    23,787x = 33,252 × 33,252
  4. Step 4: Simplify right side
    23,787x = 1,105,695,504
  5. Step 5: Solve for x
    x = 1,105,695,504/23,787
  6. Step 6: Final answer
    x = 46,483.18

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.