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Finding the Third Proportional to 2,138.44 and 3,133.69

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Solution

The third proportional to 2,138.44 and 3,133.69 is: 4,592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.44 : 3,133.69 = 3,133.69 : x
  2. Step 2: Convert to fraction form
    2,138.44/3,133.69 = 3,133.69/x
  3. Step 3: Cross multiply
    2,138.44x = 3,133.69 × 3,133.69
  4. Step 4: Simplify right side
    2,138.44x = 9,819,997.35
  5. Step 5: Solve for x
    x = 9,819,997.35/2,138.44
  6. Step 6: Final answer
    x = 4,592.14

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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.