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Finding the Third Proportional to 3,605 and 7,748.75

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Solution

The third proportional to 3,605 and 7,748.75 is: 16,655.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605 : 7,748.75 = 7,748.75 : x
  2. Step 2: Convert to fraction form
    3,605/7,748.75 = 7,748.75/x
  3. Step 3: Cross multiply
    3,605x = 7,748.75 × 7,748.75
  4. Step 4: Simplify right side
    3,605x = 60,043,126.56
  5. Step 5: Solve for x
    x = 60,043,126.56/3,605
  6. Step 6: Final answer
    x = 16,655.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.