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Finding the Third Proportional to 1,138.36 and 1,711.27

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Solution

The third proportional to 1,138.36 and 1,711.27 is: 2,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.36 : 1,711.27 = 1,711.27 : x
  2. Step 2: Convert to fraction form
    1,138.36/1,711.27 = 1,711.27/x
  3. Step 3: Cross multiply
    1,138.36x = 1,711.27 × 1,711.27
  4. Step 4: Simplify right side
    1,138.36x = 2,928,430.04
  5. Step 5: Solve for x
    x = 2,928,430.04/1,138.36
  6. Step 6: Final answer
    x = 2,572.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.