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Finding the Third Proportional to 2,722.78 and 4,190.91

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Solution

The third proportional to 2,722.78 and 4,190.91 is: 6,450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.78 : 4,190.91 = 4,190.91 : x
  2. Step 2: Convert to fraction form
    2,722.78/4,190.91 = 4,190.91/x
  3. Step 3: Cross multiply
    2,722.78x = 4,190.91 × 4,190.91
  4. Step 4: Simplify right side
    2,722.78x = 17,563,695.20
  5. Step 5: Solve for x
    x = 17,563,695.20/2,722.78
  6. Step 6: Final answer
    x = 6,450.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.