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Finding the Third Proportional to 3,528 and 7,781.50

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Solution

The third proportional to 3,528 and 7,781.50 is: 17,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528 : 7,781.50 = 7,781.50 : x
  2. Step 2: Convert to fraction form
    3,528/7,781.50 = 7,781.50/x
  3. Step 3: Cross multiply
    3,528x = 7,781.50 × 7,781.50
  4. Step 4: Simplify right side
    3,528x = 60,551,742.25
  5. Step 5: Solve for x
    x = 60,551,742.25/3,528
  6. Step 6: Final answer
    x = 17,163.19

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.