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Finding the Third Proportional to 2,188.90 and 2,873.29

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Solution

The third proportional to 2,188.90 and 2,873.29 is: 3,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.90 : 2,873.29 = 2,873.29 : x
  2. Step 2: Convert to fraction form
    2,188.90/2,873.29 = 2,873.29/x
  3. Step 3: Cross multiply
    2,188.90x = 2,873.29 × 2,873.29
  4. Step 4: Simplify right side
    2,188.90x = 8,255,767.59
  5. Step 5: Solve for x
    x = 8,255,767.59/2,188.90
  6. Step 6: Final answer
    x = 3,771.65

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.