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Finding the Third Proportional to 2,078.72 and 2,887.59

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Solution

The third proportional to 2,078.72 and 2,887.59 is: 4,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.72 : 2,887.59 = 2,887.59 : x
  2. Step 2: Convert to fraction form
    2,078.72/2,887.59 = 2,887.59/x
  3. Step 3: Cross multiply
    2,078.72x = 2,887.59 × 2,887.59
  4. Step 4: Simplify right side
    2,078.72x = 8,338,197.67
  5. Step 5: Solve for x
    x = 8,338,197.67/2,078.72
  6. Step 6: Final answer
    x = 4,011.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.