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Finding the Third Proportional to 5,679.75 and 12,139.13

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Solution

The third proportional to 5,679.75 and 12,139.13 is: 25,944.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.75 : 12,139.13 = 12,139.13 : x
  2. Step 2: Convert to fraction form
    5,679.75/12,139.13 = 12,139.13/x
  3. Step 3: Cross multiply
    5,679.75x = 12,139.13 × 12,139.13
  4. Step 4: Simplify right side
    5,679.75x = 147,358,355.77
  5. Step 5: Solve for x
    x = 147,358,355.77/5,679.75
  6. Step 6: Final answer
    x = 25,944.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.