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Finding the Third Proportional to 3,489 and 5,113.50

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Solution

The third proportional to 3,489 and 5,113.50 is: 7,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489 : 5,113.50 = 5,113.50 : x
  2. Step 2: Convert to fraction form
    3,489/5,113.50 = 5,113.50/x
  3. Step 3: Cross multiply
    3,489x = 5,113.50 × 5,113.50
  4. Step 4: Simplify right side
    3,489x = 26,147,882.25
  5. Step 5: Solve for x
    x = 26,147,882.25/3,489
  6. Step 6: Final answer
    x = 7,494.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.