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Finding the Third Proportional to 2,138.63 and 2,854.69

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Solution

The third proportional to 2,138.63 and 2,854.69 is: 3,810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.63 : 2,854.69 = 2,854.69 : x
  2. Step 2: Convert to fraction form
    2,138.63/2,854.69 = 2,854.69/x
  3. Step 3: Cross multiply
    2,138.63x = 2,854.69 × 2,854.69
  4. Step 4: Simplify right side
    2,138.63x = 8,149,240.72
  5. Step 5: Solve for x
    x = 8,149,240.72/2,138.63
  6. Step 6: Final answer
    x = 3,810.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.