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Finding the Third Proportional to 33,748 and 50,610

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Solution

The third proportional to 33,748 and 50,610 is: 75,897.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,748 : 50,610 = 50,610 : x
  2. Step 2: Convert to fraction form
    33,748/50,610 = 50,610/x
  3. Step 3: Cross multiply
    33,748x = 50,610 × 50,610
  4. Step 4: Simplify right side
    33,748x = 2,561,372,100
  5. Step 5: Solve for x
    x = 2,561,372,100/33,748
  6. Step 6: Final answer
    x = 75,897.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.